Question

Find the x is qs bisects pqr and pqr=82

Answer 1

if ∡PQR = 82°, and the ray QS bisects it, it cuts ∡PQR into two equal halves, ∡PQS and ∡RQS, each of which is then 82/2, or 41°.

$\bf \stackrel{\measuredangle PQS}{10x+1}=41\implies 10x=40\implies x=\cfrac{40}{10}\implies x=4$

Answer 2

Answer:

$x=4$

Step-by-step explanation:

We have been given that ray QS bisects angle PQR  and measure of angle PQR is 82 degrees. We are asked to find the value of x for our given diagram.

Since ray QS bisects angle PQR, so measure of each angle formed by ray QS will be half the measure of angle PQR.

$m\angle PQS=\frac{m\angle PQR}{2}$

$10x+1=\frac{82}{2}$

$10x+1=41$

$10x+1-1=41-1$

$10x=40$

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Therefore, the value of x is 4.

Answer 3

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