What is the measure of the missing angle?

Question

03-12-2021
Mathematics

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What is the measure of the missing angle?

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011000idn 011000idn · Answer 1 · 2021-12-03T00:43:24-05:00

Answer:

115°

Step-by-step explanation:

Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.

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