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AysviL [449]
2 years ago
10

if 3/4 of one of the acute angles of a right angled tringle is 15-1/4" larger than1/6 of the other,find the acute angels

Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0

The acute angles in the triangle are 16.6 degrees and 73.4 degrees

<h3>How to determine the acute angles?</h3>

From the question, we have:

Triangle type = Right triangle

Let the acute angles be x and y.

So, we have:

3/4x = 1/4 + 1/6y

Multiply through by 12

9x = 3+ 2y

The sum of acute angles in a right triangle is

x + y = 90

Rewrite as

y = 90 - x

Substitute y = 90 - x in 9x = 3+ 2y

9x = 3+ 2(90 - x)

Open the brackets

9x = 3+ 180 - 2x

Evaluate the like terms

11x = 183

Divide by 11

x = 183/11 = 16.6

Substitute x = 183/11 in y = 90 - x

y = 90 - 183/11

Evaluate

y = 807/11 = 73.4

Hence, the acute angles in the triangle are 16.6 degrees and 73.4 degrees

Read more about acute angles at

brainly.com/question/347922

#SPJ1

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