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balu736 [363]
3 years ago
8

Can someone please help me with these two problems?? ASAP

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

1. x = 40; measure of angle is 110 deg

2. x = 37.2; the angles measure 100.6 deg and 79.4 deg

Step-by-step explanation:

1.

The two angles with measures are vertical angles. Vertical angles are congruent, so their measures are equal.

3x - 10 = 2x + 30

x = 40

3x - 10 = 3(40) - 10 = 120 - 10 = 110

The measure of the angles with measures is 110 deg.

2.

The two angles form a linear pair. Angles in a linear pair are supplementary. That means that their measures add to 180 deg.

3x - 11 + 2x + 5 = 180

5x - 6 = 180

5x = 186

x = 37.2

3x - 11 = 3(37.2) - 11 = 111.6 - 11 = 100.6

2x + 5 = 2(37.2) + 5 = 79.4

The angles measure 100.6 deg and 79.4 deg

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Step-by-step explanation:

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