One angle is a right angle.

The measures of the other 2 angles are as follows:

a/li>
13/li>

A note indies the figure is not drawn to scale.

Question

One angle is a right angle. The measures of the other 2 angles are as follows: a/li> 13/li> A note indies the figure is not drawn to scale. In the right triangle shown, what is the value of a ?

Accepted Answer

Choice B is correct. The triangle shown is a right triangle, where the interior angle shown with a right angle symbol has a measure of 90 &#176; . It's shown that the other two interior angles measure 13 &#176; and a &#176; . The sum of the measures of the interior angles of a triangle is 180 &#176; ; therefore, 90 + 13 + a = 180 . Combining like terms on the left-hand side of this equation yields 103 + a = 180 . Subtracting 103 from both sides of this equation yields a = 77 . Choice A is incorrect. This is the measure, in degrees, of the other acute interior angle of the right triangle, not the value of a . Choice C is incorrect. This is the measure, in degrees, of the right angle of the right triangle, not the value of a . Choice D is incorrect. This is the sum of the measures, in degrees, of the other two interior angles of the right triangle, not the value of a .

Question one-an