Savagehailey
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Use the given information to find m

Use The Given Information To Find M class=

Sagot :

fieryanswererft

Answer:

m∠A = 62°

explanation:

as angle ∠D and ∠C lies on a straight line, they will sum up to 180°

given ∠D: 124°

  • solve for ∠C: 180° - 124° = 56°

now, the total sum of interior angles in a triangle is 180°

  • ∠A + ∠B + ∠C = 180°
  • 2x + x + 31° + 56° = 180°
  • 3x + 87° = 180°
  • 3x = 180° - 87°
  • 3x = 93°
  • x = 31°

solve for m∠A:

  • 2x
  • 2(31)
  • 62°

Solution:

Step-1: Find ∠C.

  • 180 - 124 = ∠C
  • 56° = ∠C

Step-2: Find x.

  • 56 + 2x + x + 31 = 180
  • => 56 + 3x + 31 = 180
  • => 87 + 3x = 180
  • => 3x = 93
  • => x = 31

Step-3: Find ∠A.

  • 2(x) = ∠A
  • => 62° = ∠A
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.