Question

In the following parallegrams, find the measures of the angles marked as x,y,z.​

Answer 1

Answer:

Step-by-step explanation:

4x - 3 = 3x + 2 ---- opposite sides are equal

4x - 3x = 2 + 3

x = 5

70 + 35 + z = 180 ------ interior angles

z = 110 - 35

z = 75

y = 35 ----- alternate angles

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Answer 2

Answer:

X=5, y=25° , z= 75°

Step-by-step explanation:

AB//CD

therefore y+10°= 35° [alternate interior angles of AB//CD]

y+10=35

y=35-10

y=25°

(z+35)°+70°=180° [ sum of two adjacent angles in a parallelogram]

z+105°=180°

z=180°-105°

z=75°

AB=CD since opposite sides of a parallelogram

4x-3=3x+2

4x-3x=2+3

X=5