Question

find the value of X. question is attatched below

0de76bb54af80ebee57c655395c6faa2.docx

Answer 1

Answer:

x=10

Step-by-step explanation:

prove the ABCD is PARALLELOGRAM.

so,ANGLE ABC = ANGLE ADC

ANGLE CBQ = 80°

ANGLE ABC = ?

ANGLE ABC+ANGLE CBQ=180°(straight angle is 180°)

ANGLE ABC+ 80° = 180°

ANGLE ABC = 180°- 80°

ANGLE ABC = 100°

therefore,ANGLE ABC = ANGLE ADC

100° = ANGLE ADC.

ANGLE ADC+ANGLE ADP = 180°(Straight angle is 180°)

100°+(3x+50°) = 180°

100°+3x+50° = 180°

100°+50°+3x = 180°

150°+3x = 180°

3x = 180° - 150°

3x = 30°

x = 30°÷3

x = 10°

therefore,value of x is 10°