Question

Find QTR if QTS=(3x+50) ,QTR=(4x-2) and RTS=26

A.26

B.54

C.102

D.118

Answer 1

C. 102

Explanation:

We need to use the relationships between the angles to find the value of x, then use that value to find the specific angle asked for.

QTR + RTS = QTS . . . . . . angle sum theorem

(4x -2) + 26 = (3x +50) . . . substitute the given values

x = 26 . . . . . . . . . subtract 3x+24

QTR = 4x -2 = 4·26 -2

QTR = 102