Question

ABCD is a rectangle. Find the measure of angle CBD.

Answer 1

60 degrees

Explanation:

BWA is an isosceles triangle, meaning that BW and WA are equal in length.

Thus, we have that ABW and WAB are congruent to each other.

ABC is a complementary angle, so ABW and CBD add up to 90 degrees.

ABW is 30 degrees, so we have 30 degrees+ CBD=90 degrees.

Subtracting thirty degrees from both sides we get CBD=60 degrees.

Hope this helps!