IDNLearn.com: Your reliable source for finding expert answers. Discover detailed answers to your questions with our extensive database of expert knowledge.

Find the measure of angle BEC
A) 10 degrees
B)60 degrees
C) 80 degrees
D) 100 degrees


Find The Measure Of Angle BEC A 10 Degrees B60 Degrees C 80 Degrees D 100 Degrees class=

Sagot :

Answer:

80°

Step-by-step explanation:

Apply vertically opposite angles,

∠BEC = ∠GEA = 8x°

∠GEC = ∠BEA = (4x+60°)

To find x, apply angles at a point,

8x + 8x + (4x+60°) + (4x+60°) = 360°

16x + 2(4x+60°) = 360°

16x + 8x + 120° = 360°

24x = 240

x = 10

To find ∠BEC (8x°),

8 × 10 = 80°