Two angles of a triangle are in ration 4:5. If the sum of these angle is equal to the angle, find the angles of the triangle

Given:

Two angles of a triangle are in ratio 4:5

The sum of these angle is equal to the angle

To do: Find the angles

Solution:

Let the two angles be $4x$ and $5x$.

Third angle = sum of these angles = $4x + 5x = 9x$

Using angle sum property of the triangle

$4x + 5x + 9x = 18x$

=$ 180  or x = 10$

So the angles or the triangle are $4x, 5x \ and \ 9x$ or 40, 50, 90

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Updated on: 10-Oct-2022

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