Question

Find the measure of the indicated angle ? no l

Answer 1

102 degrees

Explanation:

for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD

Answer 2

The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure

m∠ACB = 180° - 67° - 35° = 78°

Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure

m∠BCD = 180° - 78° = 102°