Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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Answer:
101
Step-by-step explanation:
Angles 1 and 2 together equal 180, Angle 1 is 79 therefore
180 = Angle 1 + Angle 2
180 = 79 + Angle 2
180 - 79 = Angle 2
101 = Angle 2
Answer: total distance - 135 = 50 (hours - 2.5)
Answer:
ABCD dilates in a scale of 1/3 by the center of A followed by a reflection of C.
AD/AD = 1/3
Step-by-step explanation:
