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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?

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 class=

Respuesta :

Answer:

(B)41 degrees

Explanation:

We are required to determine the value of Angle x in the diagram below:

In a parallelogram, the following rule applies:

Two consecutive angles add up to 180 degrees.

Therefore:

[tex]\begin{gathered} \angle C+\angle B=180^0 \\ (26^0+x)+113^0=180^0 \\ x=180^0-26^0-113^0 \\ x=41^0 \end{gathered}[/tex]

Therefore, the measure of angle BCA is 41 degrees.

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