Question

Figure EFGH is a rhombus. If ZFEH measures 35°, what is the measure of ZEHG?

(1) 35°
(2) 70°
(3) 145°
(4) 290°
(5) 360° ​

Answer 1

(3) 145°

Explanation:

You want to know the measure of angle EHG in rhombus EFGH, given angle FEH measures 35°.

Adjacent angles

A rhombus is a parallelogram. This means consecutive angles are supplementary. Angles FEH and EHG are consecutive, so ...

∠EHG = 180° -∠FEH

∠EHG = 180° -35° = 145°

The measure of angle EHG is 145°, choice 3.

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