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Chapter 1: Q78. (page 27)

In triangle PQR,QS炉and SR炉are angle bisectors and angle P=74掳. How many degrees are there in angle QSR?

A. 106

B. 121

C. 125

D. 127

E. 143

Short Answer

Expert verified

The correct option is D.

Step by step solution

01

Step 1- State the angles without measurement

Name the angles that are without measurement.

02

– Make the equation for triangle QSR

The equation that represents the triangle PQR is 2x+2y+74=180掳.

Isolate the addition of the variables x and y.

x+y=53

If the angles x and y are subtracted from 180 then they will result in measurement of triangle QSR so,

QSR=180鈭�x+y=180鈭�53=127

03

Step 3- Make the conclusion

The obtained measurement is 127 which mean that option D is correct.

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