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maks197457 [2]
3 years ago
6

In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80 mo

re than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 to find the measure of each angle .
Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

25, 50, and 105.

Step-by-step explanation:

Let the first angle be A, the second angle be B, and the third angle be C.

First, the sum of the three angles in a triangle is 180. Thus:

A+B+C=180

We know that the measure of A is twice the measure of B. Thus:

A=2B

And the measure of C is 80 more than the measure of B. So:

C=80+B

Let's substitute A and C into the original equation:

2B+B+80+B=180

Now, let's solve for the second angle (B). Combine like terms:

4B+80=180

Subtract 80 from both sides:

4B=100

Divide both sides by 4:

B=25

So, the second angle is 25 degrees.

This means that the first angle is 2(25) or 50 degrees.

And the third angle is 80+25 or 105 degrees.

And we're done!

The angles are 25, 50, and 105.

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Step-by-step explanation:

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What is the lead coefficient in the product of ( -2x -3)(4x + 5) *
Murljashka [212]

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Step-by-step explanation:

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find four solutions for the following linear equations your answer must include at least two positive numbers for X and at least
sattari [20]

9514 1404 393

Answer:

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Step-by-step explanation:

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