Answer:
x = 36
Step-by-step explanation:
The angles 3x - y and 2x + y form a straight angle and are supplementary, so
3x - y + 2x + y = 180
5x = 180 ( divide both sides by 5 )
x = 36
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5y and 3x - y are vertical angles and congruent, hence
5y = 3x - y ( add y to both sides )
6y = 3x ← substitute x = 36
6y = 3 × 36 = 108 ( divide both sides by 6 )
y = 18
Answer:
a) ∠PNQ=40°
b) ∠POQ=80°
Explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half of the intercepted arc length. From that information, we can determine the angle of PNQ with ∠PNQ=QP or ∠PNQ=(80). Multiply those two to get 40. Because the central angle is equal to the measure of its intercepted arc length. So, we know that ∠POQ is 80°.
Answer:
Expression: 55 - 45 + 81 - 30
Final score: 61
Step-by-step explanation:
Answer:10
Step-by-step explanation:5(7)9(7)