Question

4 Three intersecting lines form triangle BCE as shown below.

Which of these statements are true?
Choose all that apply.
A mZC + m2E=mZA
B
m2D + m2F=mZB
C m2B + m2C + m2E= 180°
D m2B + m2C + m2D = 180°
EmZA + m2 B = m2E+mZF
F
m2B + m2 + m2 E = mL A + m2D + m2F

Answer 1

The correct options are A, C, and E

Have a great rest of your day! :D

Answer 2

• A, C, E

Explanation:

Options:

A. m∠C + m∠E = m∠A

• Correct. Exterior angle equals to sum of non-adjacent interior angles.

B. m∠D + m∠F = m∠B

• Incorrect. Exterior angles have greater value.

C. m∠B + m∠C + m∠E = 180°

• Correct. Interior angles of a triangle sum to 180°

D. m∠B + m∠C + m∠D = 180°

• Incorrect. Angles C and D sum to 180°

E. m∠A + m∠ B = m∠E + m∠F

• Correct. Both sides of equation refer to straight angle.

F . m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F

• Incorrect. Some of interior angles is not equal to sum of exterior angles.