Question

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? Parallelogram ABCD with diagonal AC; the measure of angle ABC is 113 degrees, and the measure of angle DCA is 26 degrees. 26° 41° 52° 67°

Answer 1

Answer:

B.  41

Step-by-step explanation:

took the test and got it correct :)

Answer 2

The required measure of the angle BCA is 41°. Option B is correct.

Given,
ABCD is a parallelogram, where AC is the diagonal.
Angle ABC is 113°,  angle DCA is 26°, the measure of angle BCA is to be determined.

What is parallelogram?

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since angle DCA is 26°, angle CAB is also 26° because of an alternate interior angle of the parallelogram is equal.
So consider a triangle ABC, the sum of the interior angle of a triangle is 180,
∠CAB + ∠ABC + ∠BCA = 180°
26 + 113 + ∠BCA = 180
∠BCA  = 180 - 139
∠BCA  = 41°

Thus, the required measure of the angle BCA is 41°. Option B is correct.

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