Question

what is the value of x? art not to scale. options: x = 23, x = 35, x = 58, x = 93 (triangle sqr with angle at s: 35°, angle at r: 58°, and a straight line pqr with angle at q: x°)

Explanation:

Step1: Find angle at Q in triangle SQR

Sum of angles in triangle: $35^\circ + 58^\circ + \angle SQR = 180^\circ$
$\angle SQR = 180^\circ - 35^\circ - 58^\circ = 87^\circ$

Step2: Calculate x using straight line

$\angle SQR + x^\circ = 180^\circ$
$x = 180^\circ - 87^\circ = 93^\circ$

Answer:

D. x = 93