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Find measure of angles C & E.

F=79⁰

D=134°

Find measure of angles C & E. F=79⁰ D=134°-example-1

1 Answer

7 votes

Answer:

C = 101°

E = 46°

Explanation:

You want to know the missing angles in a trapezoid with one base angle measuring 79° and another base angle measuring 134°.

Consecutive Interior Angles

Where a transversal crosses parallel line, the consecutive interior angles are supplementary. This means ...

∠C +∠F = 180°

∠C = 180° -79° = 101°

and ...

∠D +∠E = 180°

∠E = 180° -∠D = 180° -134° = 46°

The angle measures are ...

m∠C = 101°

m∠E = 46°

answered
User Kiwidrew
by
8.8k points
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