Question

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

Answer 1

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

`m\angle A+m\angle B+m\angle C=180\degree`

Where:

m∠A = 46°

m∠C = 90°

So:

`\begin{gathered} 46\degree+m\angle B+90\degree=180\degree \\ 136\degree+m\angle B=180\degree \end{gathered}`

And solve for m∠B:

`\begin{gathered} 136\degree+m\angle B-136\degree=180\degree-136\degree \\ m\angle B=44\degree \end{gathered}`

Answer: B. 44°