Question

Can someone pls solve this for me

Answer 1

Given:

m∠WYX = 20°

m∠XYZ = 135°

To find:

The measure of arc WXZ.

Solution:

m∠WYZ = m∠WYX + m∠XYZ

m∠WYZ = 20° + 135°

m∠WYZ = 155°

The measure of inscribed angle is half of the intercepted arc.

`$\Rightarrow m \angle WYZ = (1)/(2) m (ar WXZ)`

`$\Rightarrow 155^\circ = (1)/(2) m (ar WXZ)`

Multiply by 2 on both sides.

`$\Rightarrow 2* 155^\circ = 2 * (1)/(2) m (ar WXZ)`

`$\Rightarrow 310^\circ = m (ar WXZ)`

The measure of arc WXZ IS 310°.