maddalynsfruchey07
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

In triangle ABC, m∠A=(5x−10)∘, m∠B=(12x)∘, and the exterior angle at C is (16x)∘.

What is the measure of the exterior angle at C?

In Triangle ABC MA5x10 MB12x And The Exterior Angle At C Is 16x What Is The Measure Of The Exterior Angle At C class=

Sagot :

semsee45

Answer:

160°

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

Angles on a straight line = 180°

⇒ m∠A + m∠B = exterior m∠C

⇒ (5x - 10) + (12x) = (16x)

⇒ 5x - 10 + 12x = 16x

⇒ 17x - 10 = 16x

⇒ 17x = 16x + 10

⇒ x = 10

Therefore, exterior m∠C = 16(10) = 160°

Sum of two interiors=Exterior

  • 5x-10+12x=16x
  • 17x-10=16x
  • 17x-16x=10
  • x=10

So<C

  • 16x
  • 160°
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.