Abcd is a parallelogram with diagonal ac. if the measure of angle dca is 26° and the measure of angle abc is 113°, what is the measure of angle bca? 26° 41° 52° 67°

The correct option is 2.

Step-by-step explanation:

Given information: ABCD is a parallelogram, AC is a diagonal, m∠DCA= 26°, m∠ABC=113°.

Let the measure of angles BCA be x°.

In a parallelogram, two consecutive interior angles are congruent. It means the sum of  two consecutive interior angles is 180°.

Subtract 139 from both sides.

The measure of angle BCA is 41°.

Therefore the correct option is 2.

ege

step-by-step explanation:

egge

47 - 90 = 43

43 - 180 = x

x = 137