Question

Which statement justifies why ∠DBC measures 40°?

Answer 1

The statement " the measure of angle ABD is 50 degrees, and it is

given that angles ABD and DBC are complementary " justifies why

∠DBC measures 40° ⇒ last answer

Step-by-step explanation:

Let us revise some fact s about angles

1. If two angles are supplementary then the sum of their

   measures is 180°

2. If two angles are complementary then the sum of their

    measures is 90°

∵ ∠ABD and ∠DBC are complementary  ⇒ given

∴ m∠ABD + m∠DBC = 90°

∵ m∠ABD = 50°

∴ 50 + m∠DBC = 90°

- Subtract 50 from both sides

∴ m∠DBC = 40°

The statement " the measure of angle ABD is 50 degrees, and it is

given that angles ABD and DBC are complementary " justifies why

∠DBC measures 40°

Learn more:

You can learn more about angles in brainly.com/question/1599887

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Answer 2

Answer:

the sum of the measures of angles ABD and DBC equals 90 degrees.

Step-by-step explanation:

took a test and got it right