Question

find the value of y°
find the value of z°

Answer 1

x° + y° + z° = 180°. ....eq 1

(a) from eq 1,
x° + z° = 180° -y°
If y° = x° + z°
y° = 180° - y°
2y° = 180°
y° = 90°. (answer)

(b). x° = y° = z°
x° + x° + x° = 180°
3x° = 180°
x° = 60°. (answer)

Answer 2

Answer:

Given that x°, y° and z° lie on the same straight line.

Hence, x° + y° + z° = 180° ...[Equation 1]

(a) If y° = x° + z°, find the value of y.

Using equation 1, x° + y° + z° = 180°.

➸ x° + z° = 180° - y°

Now, given that y° = x° + z°.

➸ y° = 180° - y°

➸ 2y° = 180°

➸ y° = 180/2

➸ y° = 90°

(b) If x° = y° = z°, find the value of z.

As, all the three variables are equal to each other.

Hence, x° + x° + x° = 180°

[Using equation 1]

➸ 3x° = 180°

➸ x° = 180/3

➸ x° = 60°

Now, we know that x° = z°.

Hence, z° = 60°.

• POINT TO NOTE –

Angles forming a straight line have the sum of the angles as 180°. This is because angle formed by a straight line is 180°.