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ADC is a straight line.
Angle BAD = 55° and angle BCD = 25°
Angle ABD : Angle CBD = 2:3
Work out the size of angle BDC

Sagot :

akposevictor

Applying the triangle sum theorem, the size of ∠BDC = 95°.

What is the Triangle Sum Theorem?

All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.

The diagram attached below shows the following:

  • m∠BAD = 55°
  • m∠BCD = 25°
  • m∠ABD = 2x°
  • m∠CBD = 3x°

Thus:

55 + 2x + 3x + 25 = 180 (triangle sum theorem).

  • Add like terms

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 20

Therefore,

m∠BDC = 180 - (3x + 25) (triangle sum theorem)

  • Plug in the value of x

m∠BDC = 180 - (3(20) + 25)

m∠BDC = 95°

Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

View image akposevictor
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