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2 votes
Two angles are given.

m<g = (2x - 90)
m<h = (180 - 2x)
Which statements are true about <g and <h if both angles are greater than zero.​

User Malangi
by
8.2k points

2 Answers

5 votes

Answer:

A and C

Explanation:

User Maxi Wu
by
8.3k points
1 vote

Answer:

Angle g and h are complementary angles.

Angle g and h are acute angles.

Explanation:

The given angles are


m\angle g=(2x-90)^(\circ)


m\angle h=(180-2x)^(\circ)

If sum of two angles is 180, then they called supplementary angles.

If sum of two angles is 90, then they called complimentary angles.

Add both angles.


m\angle g+m\angle h=(2x-90)^(\circ)+(180-2x)^(\circ)


m\angle g+m\angle h=(2x-90+180-2x)^(\circ)


m\angle g+m\angle h=90^(\circ)

The sum of two angles is 90 degree, therefore angle g and h are complementary angles.

Both angles are greater than zero and their sum is 90, it means


0<\angle g<90 and
0<\angle h<90

Therefore, angle g and h are acute angles.

User Randall Flagg
by
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