Question

Fine the measurements of ABE

Answer 1

Explanation:

ABC and CBD are SUPPLEMENTARY.

...they form a straight line = 180 degrees

So 80x + 21 + 80 - x = 180 <===== solve for 'x'

79x = 79

x = 1

Now, ABE and CBD are opposite vertical angles and are therefore equal

CBD = 80 - x = 80 -1 = 79 degrees

so ABE = 79 degrees too