In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti

Question

2 years ago

9

mes the measure of the second angle. if the total number of degrees in a triangle is 180 what is the measure of the largest angle?

1 answer:

Leona [35] · Answer 1 · 2023-06-07T00:31:53+03:00

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>

The polygon with 3 sides, three vertices, and three angles is known as a triangle.
A triangle's overall number of degrees is always 180 degrees.

Given:

Let, the second angle has a measurement of x degrees.
The first angle's measurement is 24 degrees greater than the second angle's measurement.
As a result, the first angle is (24+x) degrees.
The third angle is four times as large as the second.
As a result, the third angle has a measure of 4x.

So,

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

Therefore, the greatest angle in the given triangle is 104 degrees.

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