Question

Question 3
In figure find ∠X, if XY = YZ and value of ∠Y = 58° :
(A) 71° (B) 60° (C) 61° (D) 90°

Answer 1

Therefore  $\angle X= 61^\circ$

Step-by-step explanation:

Given XY = YZ and $\angle Y = 58^\circ$

Since XY = YZ then $\angle X= \angle Y =a^\circ$

We know that

$\angle X+ \angle Y +\angle Z =180^\circ$

$\Leftrightarrow a^\circ +58^\circ+a^\circ= 180^\circ$

$\Leftrightarrow 2a^\circ= 180^\circ-58^\circ$

$\Leftrightarrow a^\circ= 61^\circ$

Therefore  $\angle X= 61^\circ$