Question

Given a right triangle, what is the measure of 2B if ZA = 35º and b = 7?(Round your answer to the nearest degree.)

Answer 1

Let us make a drawing of the triangle:

Let's remember that the three angles of a triangle add up to 180 degrees. Then,

`\measuredangle A+\measuredangle B+\measuredangle C=180\degree`

Since our triangle is right, we have

`\measuredangle C=90\degree`

Thus

`35\degree+\measuredangle B+90\degree=180\degree`
`\measuredangle B=180\degree-90\degree-35\degree=55\degree`

This means that the answer is 55°.