Question

pls find the value of X ​

Answer 1

Answer: 64°

Step-by-step 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°

Answer 2

Answer:

x = 64°

Step-by-step 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°