Question

what is the value of x? choose the correct answer below. a. 102 b. 106 c. 98

Explanation:

Step1: Find the non - 127° adjacent angle

The angle adjacent to 127° on a straight - line is 180° - 127°=53°.

Step2: Use the angle - sum property of a triangle

In a triangle, the sum of interior angles is 180°. Let the third angle of the triangle be y. We know one angle is 49° and another is 53°. So, y = 180°-(49° + 53°)=78°.

Step3: Find the value of x

The angle x and y are vertical angles. Vertical angles are equal. So x = 180° - 78°=102°.

Answer:

A. 102