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agasfer [191]
3 years ago
13

Help due today please​

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>

We know that, Two angles are said to be complementary, if the sum of their measures is 90°.

<u>According to the Question</u>,

⇒ ∠ABD + ∠DBC = 90°

⇒ (2x + 30)° + (3x + 20)° = 90°

⇒ 2x + 30° + 3x + 20° = 90°

⇒ 5x + 50° = 90°

⇒ 5x = 90° - 50°

⇒ 5x = 40°

⇒ x = 40°/5

⇒ x = 8

<u>So</u>, <u>t</u><u>he measure of each angle will be</u>,

⇒ ∠ABD = (2x + 30)°

= 2 × 8 + 30°

= 16 + 30°

= 46°

⇒ ∠DBC = (3x + 20)°

= 3 × 8 + 30°

= 24 + 30°

<h3> = 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
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