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Andrei [34K]
3 years ago
14

Find the measure of the numbered angle

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Answer:

1. 36

2.122

3.122

4.38

Step-by-step explanation:

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In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

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Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

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11x = 1080-112

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x = 968/11

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Since y = x/2 + 8

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5 0
4 years ago
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