Question

Use the diagram and the value of x to find the measures of BCE and ECF.

A . The measure of BCE = ?
B . The measure of ECF = ?

Answer 1

Answer:

125° and 55°

Step-by-step explanation:

∠ BCE and ∠ ECF are adjacent angles and are supplementary, thus

10x + 15 + 5x = 180, that is

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

Thus

∠ BCE = 10x + 15 = 10(11) + 15 = 110 + 15 = 125°

∠ ECF = 5x = 5(11) = 55°