Question

PLSS help its math if m

Answer 1

64

Explanation:

the line BCD is a straight line, so angle BCA plus the angle ACD will add to 180. therefore 180 - 114 = 66.

all three angles in a triangle add to 180, so when angle A is 50 and angle C is 66, then 180 - 50 - 66 = 64

Answer 2

m∠B = 64°

Explanation:

We are told that m∠A = 50° and m∠ACD = 114°. We are then asked to find m∠B.

From the diagram, we can see the angles ACD and ACB lie on a straight line. Therefore, their measures add up to 180°. Hence:

∠ACD + ∠ACB = 180°

⇒ 114° + ∠ACB = 180°

⇒ ∠ACB = 180° - 114°

⇒ ∠ACB = 66°

∴ m∠C = 66°

We know that the angles inside a triangle add up to 180°.

Now that we know the measures of ∠A and ∠C, we can calculate m∠B:

∠A + ∠B + ∠C = 180°

⇒ 50° + ∠B + 66° = 180°

⇒ ∠B = 180° - 66° - 50°

⇒ ∠B = 64°