Mathematics: 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°

No she would only be able to fit 729, because 9^2 equals 81, and 81*9 equals 729....

Abcd is a parallelogram with diagonal ac. if the

angela563

13.07.2020

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°.

$\angle BCD=\angle BCA+\angle DCA$

$\angle BCD=x+26$

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

$\angle ABC+\angle BCD=180$

113+(x+26)=180

139+x=180

Subtract 139 from both sides.

139+x=180

x=180-139

x=41

The measure of angle BCA is 41°.

Therefore the correct option is 2.

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