Question

7.
90°
(2X 30°
y
(a) Find x + y + z​

Answer 1

Step-by-step explanation:

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Answer 2

SolUtioN:-

Given angles are 30 ° and 90°

To find the value of x+ y + z

Let the third angle of triangle be 'a'

As, we know that the Sum of all interior angles of triangle is 180°

❆ So, According to the question

➜ 30° + 90 ° + a = 180°

➜ 120° + a = 180°

➜ a = 180° - 120°

➜ a = 60°

Therefore , the value of a is 60°

We want the value of x , y and z for finding value of x+ y + z

Then,

Value of x

⇒ x + 90° = 180° ( By linear pair* )

⇒ x = 180° - 90 °

⇒ x = 90°

Value of y

⇒y + P = 180° ( By linear pair)

⇒ y + 60° = 180°

⇒ y = 180° - 60°

⇒ y = 120°

Value of z

⇒z + 30 ° = 180°( By linear pair)

⇒z = 180° - 30 °

⇒ z = 150°

Now , As we required the value of x + y + z according to question,

So, Substitute the value of x , y and z in x + y + z

➞ 90 ° + 120 ° + 150°

➞ 360°

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Linear pair of the angles are which forms on straight line when two lines intersect. And as we know straight line has angle 180°

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