Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. 7)
MZDGC 8) mZSXW F --212 12.7 12x - SIG W 370 B 4x-SE 15 + 4x C D 21x + 8 Find the measure of the arc or angle indicated. 9) Find mRL 10) Find mZSRT K T 16x-1 15x + 3 30x + 4 32x - 4 S L Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. 11) Find mZSTV 12) Find mJMK T 6x U 127x + 1 6 + 10x M S L 63.r + 1 160° 13) Find mQS 14) 500 U P D G, F 155 “ e 19x - 2 E 15x U R S 190°
1 answer:
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Answer:
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Step-by-step explanation:
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Answer:
∠NQP = 74°
Step-by-step explanation:
NPQ is a triangle.
We know the sum of 3 angles of a triangle is 180 degrees. So we can write:
N + P + Q = 180
2x + 34 + 2x + 2 = 180
Now, we can solve for x:
The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:
∠NQP = 2(36) + 2 = 74°