the measures of the two angles:
ABD = 45.3°
CBD = 44.7°
And the larger one is trivial:
ABC = 90°.
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How to find the measures of the angles?</h3>
On the diagram we can see two angles that add up to a right angle (which measures 90°).
We can see that:
ABD = (6x + 14)°
CBD = (3x + 29)°
Then we need to solve for x:
6x + 14 + 3x + 29 = 90
We can solve that linear equation for x so we get:
6x + 14 + 3x + 29 = 90
9x + 43 = 90
9x = 90 - 43
9x = 47
x = 47/9
Now that we know the value of x, we can find the measures of the two angles:
ABD = (16x + 14)° = (16*47/9 + 14)° = 45.3°
CBD = (3x + 29)° = (3*47/9 + 29)° = 44.7°
And the larger one is trivial:
ABC = 90°.
If you want to learn more about angles:
brainly.com/question/17972372
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