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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