Answered

IDNLearn.com: Where your questions meet expert advice and community support. Ask any question and get a thorough, accurate answer from our community of experienced professionals.

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 :

Akposevictoridn

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
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.