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Given that ∠ADB and ∠BDC are complimentary angles, the numerical value of a, ∠ADB and ∠BDC are 5, 25° and 65° respectively.

What is the numerical value of a, ∠ADB and ∠BDC?

When two angles have measures adding to up to 90 degrees, they are called complementary .

Given that;

  • m∠ADB = ( 3a + 10 )
  • m∠BDC = 13a
  • Numerical value of a = ?

For complimentary angles;

m∠ADB + m∠BDC = 90°

Plug in the given values and solve for a.

( 3a + 10 ) + 13a = 90

3a + 10 + 13a = 90

10 + 16a = 90

16a = 90 - 10

16a = 80

a = 80/16

a = 5

Now, find the measure of ∠ADB and ∠BDC.

m∠ADB = ( 3a + 10 ) = 3(5) + 10 = 15 + 10 = 25°

m∠BDC = 13a = 13( 5 ) = 65°

Given that ∠ADB and ∠BDC are complimentary angles, the numerical value of a, ∠ADB and ∠BDC are 5, 25° and 65° respectively.

Learn more about complementary angles here: https://brainly.com/question/2882938

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