90.3k views
5 votes
30

40
R
P
60°
What is the measure of ZPTQ?
120
S
140°
180°
120°
100°

30 40 R P 60° What is the measure of ZPTQ? 120 S 140° 180° 120° 100°-example-1

1 Answer

5 votes

Answer:

140°

Explanation:

Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:

360 = 120 + 60 + 40 + ∠PTQ

360 = 220 + ∠PTQ

-220 -220

140 = ∠PTQ

∠PTQ = 140°

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