volume_mute

Refer to the figure below. Find the measure of each angle

publish date2023/05/19 08:40:00 GMT+10

volume_mute

 

find_angles.jpg

  1. ∠1
  2. NYZ
  3. MYX
  4. ∠2

Correct Answer

(1) 70
(2) 65
(3) 65
(4) 45

Explanation

  1. NYZ and ∠1 are vertical angles, then m(∠1) = 70o
  2. m(∠NYZ)+ m(∠ZYO)+ m(∠OYM) = 180o, then m(∠NYZ) = 180o - 70o - 45o = 65o
  3. MYX and ∠NYZ are vertical angles, then m(∠MYX) = 65o
  4. ∠2 and ∠MYO are vertical angles, then m(∠2) = 45o

Reference

Mathematics for college students


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