Question

Plz help me answer this plz

Answer 1

Option D:

The measure of angle x is 71 degree.

Solution:

m(ar AB) =92° and m(ar CD) = 50°

The measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

$\Rightarrow \angle x^\circ =\frac{1}{2} (m (ar AB) + m (ar CD))$

$\Rightarrow \angle x^\circ =\frac{1}{2} (92^\circ+50^\circ)$

$\Rightarrow \angle x^\circ =\frac{1}{2} \ (142^\circ)$

$\Rightarrow \angle x^\circ =71^\circ$

The measure of angle x is 71 degree.

Option D is the correct answer.