Question

Pls say the correct answer for the above attached question with steps...find the value of x and y

Answer 1

➤ Given :-

• A triangle with one angle measuring 60°.
• One of the ray of the triangle is extended which measures 110°.

➤ To Find :-

Value of x and y.

How to do :-

In this question, we are given with a triangle in which one ray extends. One of the angle of the triangle measures 60°. And the line extended outwards measures 110°. So, first we can find the value of angle x because the linear pair of angles always measure 180°. Next, we can find the measurement of the angle y easily.

➤ Solution :-

Value of x :-

The value of x can be found through subtracting 180 and 110, because linear pair of angles always measures 180°.

${\tt \to 180 - 110}$

${\tt \to {70}^{\circ}}$

So,

${\tt \to \large \orange{\boxed{\tt x = {70}^{\circ}}}}$

${\:}$

Value of y :-

The value of y can be found through subtracting 180 from the sum of 60° and the value of angle x, because all the angles of the triangle together measures 180°.

${\tt \to 180 - (60 + 70)}$

${\tt \to 180 - 130}$

${\tt \to {50}^{ \circ}}$

So,

${\tt \to \large \orange{\boxed{\tt y = {50}^{\circ}}}}$

Answer 2

Answer:

• x=70°
• y= 50°

Step-by-step explanation:

Before moving on to the answer, kindly see the attached figure above.

Given:

• Three angles of a triangle ( 60°, x°, y°)
• An external angle = 110°

To find:

The unknown angles of:

• x
• y

Solution:

Finding the value of x:

You can see that in the following figure, $\angle{x}$ and 110° are linear pair of angles.

That means, $\angle{ABC}$ and $\angle{CBD}$ are linear pair of angles

Linear pair of angles says that the sum of the pairs of angles are 180° as the line formed is 180°

$\therefore$ $\angle{ABC}$ + $\angle{CBD}$ = 180°

or,

x+110° = 180°

x = 180-110

$\boxed{ \sf{x = 70°}}$

Finding the value of y:

In three angles of a triangle, we know two angles, 60° and 70°

According to angle sum property, the sum of three angles of a triangle is 180°

That is, $\angle{A}$ + $\angle{B}$ + $\angle{C}$ = 180°

So, 60 + x + y = 180°

60 + 70 + y = 180°

130 + y = 180°

y = 180° - 130°

$\boxed{ \sf{y = 50°}}$

Final answer:

• x = 70°
• y = 50°