Question

The value
in the
of x in
is
figure is:
75
65°
a) ID
b) 90°
c) 100°
d) 120°

Answer 1

Step-by-step explanation:

Answer:-

Redrawn the figure, refer to the ATTACHMENT with additional angles.

So, if we see the figure:-

Given that:-

• The angles given are:-

1. 70°
2. 75°
3. 65°

To find:-

The value of x.

Let's Do!

If now, you see the red angles marked byme, they are Vertically Opposite angles.

Let is find that first.

$70 + 75 + y = 180$

$145 + y = 180$

$y = 180 - 145$

$y = 35$

Now, the measure of red angle is 35°.

Now, as I said, they are Vertically opposite, so they are equal.

$x + 35 + 65 = 180$

$x + 100 = 180$

$x = 180 - 100$

$x = 80$

So, the value of x is 80°. Hence the final answer.

Answer 2

$\huge{\boxed{\rm{\red{Correct \: question}}}}$

The value of x in the given figure is -

• 80°

• 90°

• 100°

• 120°

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

$\bold{\green{\fbox{\green{Given angles are given below}}}}$

• 70°

• 75°

• 65°

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• The value of x in given figure.

$\large{\boxed{\boxed{\sf{Solution}}}}$

• The value of x is 80 degree

$\large{\boxed{\boxed{\sf{What \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1^{st}}}}}$

• This question says that we have to find the value of x angle in the given figure. And the given angles are 70° , 75° and 65° .

$\large{\boxed{\boxed{\sf{How \: to \: do \: this \: question}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: that \: is \: given \: below}}}}$

• Firstly we have to know what are vertical opposite angles in the figure. And as we know that the vertical opposite angles are those who r marked by blue by me. Now firstly we have to find the value of vertical opposite angles. We let's vertical opposite angles as y. Now finding the value...... { We write y because we let vertical opposite angles as y and we write 180 after equal to because as we know that the sum of all angles of triangle will be 180 degree } . { Triangle have 3 sides always. } Now continuing coming to the end of finding the value of y means vertical opposite angles. We get result = 35°. After that we have to find the value of x . Finding the value we come to end and at last we got our final result that is 80 degree. Hence the answer of this question is 80°

$\large{\boxed{\boxed{\sf{Let's \: do \: it\: properly}}}}$

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

◕ Second attachment as u see it is a redrawn figure we have to redraw it and first attachment is the questional figure.

◕ As u see in my redrawn figure I mark 2 angles with blue pen. These angles are known to be $\small\purple{\texttt{vertical opposite angles}}$

$\large\orange{\texttt{According to the question}}$

$\large\orange{\texttt{Let's carry on}}$

Let vertical opposite angle be y

$\leadsto$ 70 + 75 + y = 180

$\leadsto$ 145 + y = 180

{ Adding 70 by 75 = 145 }

$\leadsto$ y = 180 - 145

$\leadsto$ y = 35 degree

Hence, the measure of blue angles that is vertical opposite angles will be 35.

◕ And we also know that the vertical opposite angles are equal.

$\large\orange{\texttt{Now}}$

$\large\orange{\texttt{According to the question}}$

$\large\orange{\texttt{Let's carry on}}$

$\large\underbrace\mathfrak\pink{Let \: find \: the \: value \: of \: x}$

$\leadsto$ x + 35 + 65 = 180

$\leadsto$ x + 100 = 180

$\leadsto$ x = 180 - 100

$\leadsto$ x = 80°

Answer 80°

$\large{\boxed{\boxed{\sf{Know \: more}}}}$

Vertical opposite angles ↓

Vertically Opposite Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Hope it's helpful

Thank you :)