Question

28. Determine the unknown angles.
B.
.C
133
А
D
829
E

Answer 1

Explanation:

We know that angles BAD and DAE are supplementary, so the measure of angle DAE is 180-133=47 degrees.

Because of this, we can determine that angle ADE measures 180-82-47=51 degrees.

Now, since triangles ADE and BCE are similar, we can say that the measure of angle ABC is 47 degrees and the measure of angle BCE is 51 degrees.

Finally, to find the measure of angle ADC, we can notice that its the supplement of angle ADE, meaning ADC measures 180-51=129 degrees.