Chapter 1: Q78. (page 27)

In triangle PQR, $\bar{Q S}$ and $\bar{S R}$ are angle bisectors and angle $P = 74 °$ . 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

Step 1- State the angles without measurement

Name the angles that are without measurement.

– Make the equation for triangle QSR

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

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,

$\begin{matrix} Q S R = 180 - (x + y) \\ = 180 - 53 \\ = 127 \end{matrix}$

Step 3- Make the conclusion

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

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Year	Average CPI
1950	42.1
1960	29.6
1970	38.8
1980	82.4
1990	130.7
2000	174.0

In triangle PQR, $\bar{Q S}$ and $\bar{S R}$ are angle bisectors and angle $P = 74 °$ . How many degrees are there in angle QSR?
A. 106
B. 121
C. 125
D. 127
E. 143

Short Answer

Step by step solution

Step 1- State the angles without measurement

– Make the equation for triangle QSR

Step 3- Make the conclusion

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In triangle PQR,QS¯and SR¯are angle bisectors and angle P=74°. How many degrees are there in angle QSR?A. 106B. 121C. 125D. 127E. 143

Short Answer

Step by step solution

Step 1- State the angles without measurement

– Make the equation for triangle QSR

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Geometry

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

In triangle PQR, $\bar{Q S}$ and $\bar{S R}$ are angle bisectors and angle $P = 74 °$ . How many degrees are there in angle QSR?
A. 106
B. 121
C. 125
D. 127
E. 143