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4vir4ik [10]
2 years ago
13

Find the measure of each acute angle.

Mathematics
2 answers:
miss Akunina [59]2 years ago
8 0

Answer:

the top angle is 48

the bottom right  angle is 42

Step-by-step explanation:

The sum of the angles of a triangle is 180

90 + 8x+7x = 180

Combine like terms

90 +15x = 180

Subtract 90 from each side

15x = 180-90

15x = 90

Divide by 15

15x/15 =90/15

x = 6

8x = 8*6 = 48  so the top angle is 48

7x = 7*6 = 42 so the bottom angle is 42

Whitepunk [10]2 years ago
8 0

Solution given:

8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]

15x=180°-90°

x=90/15

x=6°

<u>8</u><u>x</u><u>=</u><u>8</u><u>*</u><u>6</u><u>=</u><u>4</u><u>8</u><u>°</u>

<u>7</u><u>x</u><u>=</u><u>7</u><u>*</u><u>6</u><u>=</u><u>4</u><u>2</u><u>°</u>

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____________________
luda_lava [24]

Angle BOC = 120

PROOF

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Read 2 more answers
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