(3X+7)
(2X+5)
If the measure of ∠ABD is 112°, what are the measures of ∠ABC and ∠CBD?
To find the measures of ∠ABC and ∠CBD, we need to consider the relationship between angles in a triangle.
In triangle ABD, we know that ∠ABD = 112°.
Since the sum of the angles in a triangle is 180°, we can find the measure of ∠ABC by subtracting the measures of ∠ABD and ∠CBD from 180°.
Let's say ∠ABC = x° and ∠CBD = y°.
Therefore, x° + 112° + y° = 180°.
Simplifying this equation, we have:
x° + y° = 180° - 112°
x° + y° = 68°.
Hence, the measures of ∠ABC and ∠CBD are 68° and 112°, respectively.
WRONG
Apologies for the incorrect response.
If the measure of ∠ABD is 112°, then we have two angles in triangle ABD. The sum of the angles in a triangle is 180°, so the measure of ∠ABD + ∠ABC + ∠CBD = 180°.
Let's say the measure of ∠ABC is x° and the measure of ∠CBD is y°.
Therefore, we have: 112° + x° + y° = 180°.
Simplifying this equation, we have: x° + y° = 180° - 112°.
x° + y° = 68°.
Thus, the measures of ∠ABC and ∠CBD are both 68°.