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3 years ago

Can someone explain this?

Mathematics

2 answers:

natulia [17]3 years ago

8 0

Answer:

58 degrees

Step-by-step explanation:

(x+45)+(x+66)=95

2x+45+66=95

2x+111=95

2x=95-111

2x=-16

x=-16/2

x=-8

x+66=-8+66=58

yan [13]3 years ago

5 0

<h3>Answer: angle JML is 58 degrees (choice C)</h3>

=======================================

Explanation:

Check out the attached image below. I have marked the angles with A, B, and C such that

A = angle NMJ = x+45 (in red)

B = angle JML = x+66 (in blue)

C = angle NML = 95 (in green)

The two angles A and B combine to form angle C. Angles A and B are adjacent angles.

So,

A+B = C

(x+45) + (x+66) = 95

2x+111 = 95

2x+111-111 = 95-111 .... subtract 111 from both sides

2x = -16

2x/2 = -16/2 .... divide both sides by 2

x = -8

From here we can find the angle measures

A = angle NMJ = x+45 = -8+45 = 37 degrees

B = angle JML = x+66 = -8+66 = 58 degrees

As a check,

A+B = 37+58 = 95 = C

so the answer is confirmed.

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