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4 votes
Pls find the value of X ​

Pls find the value of X ​-example-1
User AmitP
by
4.0k points

2 Answers

3 votes

Answer:

x = 64°

Explanation:

Since the triangle is isosceles, the base angles are congruent, that is

∠ R = ∠ Q = 32° , then

vertex angle = 180° - (32 + 32)° = 180° - 64° = 116°

∠ NSR = 116° ( vertically opposite angle )

∠ MNS and ∠ NSR are same- side interior angles and sum to 180° , then

x = 180° - 116° = 64°

User Artem Bochkarev
by
4.4k points
7 votes

Answer: 64°

Explanation:

  • Since QS = RS, ∠Q = ∠R = 32°
  • ∠QSR = 180° - 32° - 32° = 116°
  • ∠QSR = ∠NSP = 116°
  • Since MN║PS, ∠NSP + ∠N = 180°
  • ∠N = 180° - 116° = 64°
User Tica
by
4.6k points