Question

One of the angles of a triangle is ${74}^{\circ }$ and the other two angles are equal, then the measure of each of the equal angles is:

• A. ${58}^{\circ }$
• B. ${100}^{\circ }$
• C. ${53}^{\circ }$
• D. ${116}^{\circ }$

Answer 1

The correct option is C ${53}^{\circ }$

The sum of the angles in a triangle is equal to ${180}^{\circ }$.
Let the other angle be $x^{\circ }$ ,
Such that $x+x+{74}^{\circ }={180}^{\circ }$ [Given that two angles are equal.]
Hence, 2x = 180 - 74
$\Rightarrow x=\frac{106}{2}={53}^{\circ }$
Hence, the measure of the equal angles is ${53}^{\circ }$.