Question

If the measure of ∠ABD is 112°, what are the measures of ∠ABC and ∠CBD? (2 points) ∠ABC= ° and ∠CBD= °

Answer 1

my answer choices are
for ∠ABC 20,45,67,82
for ∠CBD 40,45,82,92

Answer 2

THERE IS NO 20 ONLY 25

Answer 3

THERE IS NO 25 THERE IS ONLY 20

Answer 4

THERE IS NO 48 ONLY 40 AND 45

Answer 5

Since ∠ABD is 112°, we can solve for the measures of ∠ABC and ∠CBD using the fact that the sum of the angles in a triangle is 180°.

∠ABC + ∠ABD + ∠CBD = 180°

Substituting the value of ∠ABD, we have:

∠ABC + 112° + ∠CBD = 180°

To find the measures of ∠ABC and ∠CBD, we need more information about the triangle or the relationship between these angles.

Answer 6

To find the measures of ∠ABC and ∠CBD with the given answer choices, we need to use the fact that the angles in a triangle add up to 180°.

Let's start by assigning values to ∠ABC and ∠CBD based on the answer choices:
- If ∠ABC = 20°, then ∠CBD = 180° - ∠ABD - ∠ABC = 180° - 112° - 20° = 48°.
- If ∠ABC = 45°, then ∠CBD = 180° - ∠ABD - ∠ABC = 180° - 112° - 45° = 23°.
- If ∠ABC = 67°, then ∠CBD = 180° - ∠ ABD - ∠ABC = 180° - 112° - 67° = 1°.
- If ∠ABC = 82°, then ∠CBD = 180° - ∠ABD - ∠ABC = 180° - 112° - 82° = -14°.

Since it is not possible for angles in a triangle to have negative measures, we can conclude that the only valid values for ∠ABC and ∠CBD are:
- ∠ABC = 45° and ∠CBD = 23°.

Therefore, ∠ABC= 45° and ∠CBD = 23° are the correct measures.

Answer 7

Apologies for the previous mistake. If ∠ABC = 25°, then we can find ∠CBD using the fact that the angles in a triangle add up to 180°.

∠ABC + ∠ABD + ∠CBD = 180°
25° + 112° + ∠CBD = 180°

Simplifying the equation:

137° + ∠CBD = 180°
∠CBD = 180° - 137°
∠CBD = 43°

Therefore, ∠ABC = 25° and ∠CBD = 43°.

Answer 8

Apologies for the confusion. If ∠ABC = 20°, then we can find ∠CBD using the fact that the angles in a triangle add up to 180°.

∠ABC + ∠ABD + ∠CBD = 180°
20° + 112° + ∠CBD = 180°

Simplifying the equation:

132° + ∠CBD = 180°
∠CBD = 180° - 132°
∠CBD = 48°

Therefore, ∠ABC = 20° and ∠CBD = 48°.

Answer 9

Apologies for the confusion. Let's solve it correctly this time.

If ∠ABD is 112° and ∠ABC is 20°, then we can find ∠CBD using the fact that the angles in a triangle add up to 180°.

∠ABC + ∠ABD + ∠CBD = 180°
20° + 112° + ∠CBD = 180°

Simplifying the equation:

132° + ∠CBD = 180°
∠CBD = 180° - 132°
∠CBD = 48°

Therefore, ∠ABC = 20° and ∠CBD = 48°.