Question

In a triangle PQR, side QR is produced to S such that <PRS = 140°. If <P = <Q, then <Q is equal to 

70°

40°

60°

35°

​

Answer 1

Answer:

70 degrees.

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Step-by-step explanation:

refer to the given diagram.

we will use one of the properties of triangles:

the exterior angle is equal to the sum of the two opposite interior angles.

so, we know that <PRS = <P + <Q

and since P = Q,

we can change this to:

140 = p+p

2p  = 140

p = 70

p = q = 70.

so, the answer to the question is 70.