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7: What is the measure of the angle in red?

7: What is the measure of the angle in red?-example-1
User Chau Chee Yang
by
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1 Answer

5 votes
5 votes

According to the image,


\angle red=360\degree+\angle blue

On the other hand, the green and blue angles are complementary; therefore,


\begin{gathered} \angle blue+\angle green=90\degree \\ \angle blue=90\degree-70\degree=20\degree \end{gathered}

Thus,


\Rightarrow\angle red=360\degree+20\degree=380\degree

Hence, the answer is 380°, option C.

User MaTHwoG
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2.7k points