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In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of
angle C is 1° less than 5 times the size of angle A.
Find the size of the angles.

Answer :

Answer:

They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5. Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

hope it helps!

Answer:

A=18.1, B=72.4, and C=89.5

Step-by-step explanation:

Where A, B and C represent their respective angles:

We are given that:

B=4A

C=5A−1

And since ABC make up a triangle, we know that:

A+B+C=180

Since we have three variables and three equations, we can solve for A, B, and C. To solve for A:

Take the equations B=4A and C=5A−1, and plug B and C into the last equation:

A+B+C=180

A+4A+5A−1=180

10A – 1 + 1 = 180 + 1

10A=181

10 /10 x A = 181/10

             A = 18.1

Then we can plug this value into the first two equations to solve for B and C:

B=4A

B=4(18.1)=72.4

C=5A−1

C=5(18.1)−1= 90.5 - 1=89.5

So A=18.1, B=72.4, and C=89.5

Hope this helps!

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