Sally drew a circle with the right triangle prq inscribed in it, as shown below: if the measure of arc qr is 40 degrees, what is the measure of angle pqr? a) 20 degrees b) 40 degrees c) 50 degrees d) 70 degrees

D) 70 degrees

Step-by-step explanation:

Here,

Right triangle PRQ inscribed in a circle,

Let O be the centre of the circle,

If the measure of arc QR is 40 degrees,

By the central angle theorem,

,

Now, by the given options it is clear that measure of angle PQR can not 90°,

Thus, m∠PRQ = 90°,

∵ The sum of all interior angles of a triangle is supplementary,

m∠PRQ + m∠QPR + m∠PQR = 180°,

90° + 20° + m∠PQR = 180°,

110° + m∠PQR = 180°,

m∠PQR = 70°,

Hence, OPTION D would be correct.

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step-by-step explanation: then we will answer

a

step-by-step explanation: