Question

Among the two supplementary angles, the measure of the larger angle is 64° more than the measure of smaller. Find the measure of the larger angle.

• A.
  122°
• B.
  112°
• C.
  114°
• D.
  154°
• E. None of the above

Answer 1

The correct option is A

122°
Let the larger angle be = x°, then the smaller angle will be (x-64) °
so, x + (x-64)= ${180}^0$ $\Rightarrow$ 2x -64 = ${180}^0$
$\Rightarrow$ x=$\frac{244}{2}={122}^0$