Question

Which one should I choose?

Answer 1

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

$m\angle 1=90^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$90^\circ+65^\circ+m\angle 2=180^\circ$

$155^\circ+m\angle 2=180^\circ$

$m\angle 2=180^\circ-155^\circ$

$m\angle 2=25^\circ$

Therefore, the correct option is C.