Question

Pls help with question 35

Answer 1

the measures of the two angles:

ABD =  45.3°

CBD =  44.7°

And the larger one is trivial:

ABC = 90°.

How to find the measures of the angles?

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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