maddalynsfruchey07
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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°
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.