Question

Las 25 22. Lines a and bare parallel and cut by the transversalt. Label each of the 7 unknown angles with the correct angle measure. 20 t

Answer 1

Explanation:

Angle b and the one that's 70º are vertical angles, so they are congruent.

Angles b and g are corresponding angles. They are congruent.

Angles g and e are vertical angles. They are congruent.

Angles a and b are supplementary - their measures add up 180º:

$\begin{gathered} m\angle a+m\angle b=180º \\ m\angle a=180º-70º \\ m\angle a=110º \end{gathered}$

Angles a and d are corresponding angles. They are congruent.

Angles c and a are vertical angles. They are congruent.

Angles d and f are vertical angles. They are congruent.

Answers:

• m∠a = 110º

,

• m∠b = 70º

,

• m∠c = 110º

,

• m∠d = 110º

,

• m∠e = 70º

,

• m∠f = 110º

,

• m∠g = 70º