Question

Question 4(Multiple Choice Worth 2 points)

(02.06 MC)

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?

D

с

26°

113°

А

B

O 26

41

52

67

Hi

Answer 1

41°

Step-by-step explanation:

I took the test and got it correct and other brain users confirmed it was correct.

I will list the steps on how to get the answer

Angle DCA is 26° and angle CAB is also 26° because alternate interior angles are equal.

the sum of the interior angle of a triangle is 180. So

∠CAB + ∠ABC + ∠BCA = 180°

26 + 113 + ∠BCA = 180

∠BCA = 180 - 139

∠BCA = 41°

in conclusion, the answer is 41°.

Hoped I helped.

Have an amazing day :)

Answer 2

BCA= 41

Step-by-step explanation:

ABCD=180

DCA=26

ABC=113

BCA=?

ABC+BCA+DCA=180

113+BCA+26=180

139+BCA=180

BCA=180-139

BCA =41