Question

Calculate the size of each lettered angle in the following figures : (Plaese answer in paper)​

Answer 1

Answer:

1-360 /////////////////////////////////

Answer 2

Required Solution:

(ii)

Given:

• Exterior angle = 115°
• Another exterior angle = 60°

To find:

• Value of x° ( Second interior angle )

Calculation:

• First interior angle = 60° ( Vertically opposite )

• Second interior angle = x°

• Third interior angle = 65°

→ 180° - 115° ( By linear pair )

→ 65°

Now, we know that

• Sum of the interior angles of triangle = 360°

→ 60° + x° + 65° = 180°

→ 125° + x°= 180°

→ x° = 180° - 125°

→ x° = 55°

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(iv)

[Refer to the attachment for better understanding.]

Value of "x°"

From ∆ 1 :

By linear pair:

→ 87° + x° = 180°

→ x° = 180° - 87°

→ x° = 93°

Value of "y°"

We know that:

• Sum of the two interior opposite angle of ∆ = Exterior angle

→ x° + y° = 126°

→ 93° + y° = 126°

→ y° = 126° - 93°

→ y° = 33°

Value of "z°"

We know that:

• Sum of the two interior opposite angle of ∆ = Exterior angle

Here, exterior angle is 75°.

→ 42° + z° = 75°

→ z° = 75° - 42°

→ z° = 33°

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