Question

In a parallelogram EFGH,angle F is 80°, find the measure of angle G.​

Answer 1

Answer:

Answer

In a parallelogram opposite angles are equal and opposite sides are parallel. thus two angles on the same side are supplementary

therefore, in the parallelogram

the angle opposite to the 80* will be 80*

and the other two angles will be

2x + 2(80*) = 360*

2x = 360* - 160*

x = 200*/2 = 100*

The angles of parallelogram are 100,80,100,80

Answer 2

Answer :-

• ∠G = 100°

Step-by-step Explanation

To Find :-

• The measure of ∠G

★ Solution

Given that,

Parallelogram = EFGH

∠F = 80°

F I G U R E :-

Refer the attachment.

• Given, EFGH is a parallelogram where ∠F is 80°, and in the question it's said to find out the measure of ∠G.

____________________________

According the question,

∠G and ∠F are adjacent angles.

As we know that,

Sum of adjacent angles of parallelogram measures 180°

Therefore,

• ∠G + ∠F = 180° or ∠G + 80° = 180°

→ ∠G + ∠F = 180

→ ∠G + 80 = 180

→ ∠G = 180 - 80

→ ∠G = 100°

Hence, The measure of ∠G is 100°.