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Find the measure of the indicated angle in each triangle.The choices areA=136B=44C=180D=90

Find The Measure Of The Indicated Angle In Each TriangleThe Choices AreA136B44C180D90 class=

Sagot :

We know that the sum of the internal angles of a triangle is 180°. This is:

[tex]m\angle A+m\angle B+m\angle C=180\degree[/tex]

Where:

m∠A = 46°

m∠C = 90°

So:

[tex]\begin{gathered} 46\degree+m\angle B+90\degree=180\degree \\ 136\degree+m\angle B=180\degree \end{gathered}[/tex]

And solve for m∠B:

[tex]\begin{gathered} 136\degree+m\angle B-136\degree=180\degree-136\degree \\ m\angle B=44\degree \end{gathered}[/tex]

Answer: B. 44°

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