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?

Answer 1

(B)41 degrees

Step-by-step 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:

`\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}`

Therefore, the measure of angle BCA is 41 degrees.