Question

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

Answer 1

Required Solution:

• → y° = 81°

• → z° = 44°

• → x° = 55°

______________________

In the given figure, we can see that there is "a quadrilateral (2)" and "a triangle"

Value of "y°"

To find the value of 'y°' , we'll calculate the first angle of the quadrilateral first.

________

We know that,

• Sum of interior angles of a quadrilateral = 360°

Let the first angle be a°.

→ 136° + 55° + 70° + a° = 360°

→ 261° + a° = 360°

→ a° = 360° - 261°

→ a° = 99°

Now by linear pair:

Value of y = 180° - the first angle of quadrilateral.

→ y° = 180° - a°

→ y° = 180° - 99°

→ y° = 81°

▬▬▬▬▬▬▬▬▬▬

Value of "z°"

Again by linear pair:

→ z° = 180° - 136°

→ z° = 44°

▬▬▬▬▬▬▬▬▬▬

Value of "x°"

In the triangle(1) diagram:

We have:

• y° = 81°
• z° = 44°

To find:

• z = ?

Calculation:

We know that,

• Sum of interior angles of ∆ = 180°

→ y° + z° + x° = 180°

→ 81° + 44° + x° = 180°

→ 125° + x° = 180°

→ x° = 180° - 125°

→ x° = 55°

▬▬▬▬▬▬▬▬▬▬

Answer 2

180=(70+55)

=55

y+x=136

y=136-55

=81°

(please put ° on top of each number)