(3) 15. In the given figure, if PQ || RS, then the value of x will be P •Q 120° TOX X 130° S R (1) 110° (2) 70° (3) 130° (4) 115 16.
Answers
Answer:
(3) 15. In the given figure, if PQ || RS, then the value of x will be P •Q 120° TOX X 130° S R (1) 110° (2) 70° (3) 130° (4) 115 16.
Step-by-step explanation:
(3) 15. In the given figure, if PQ || RS, then the value of x will be P •Q 120° TOX X 130° S R (1) 110° (2) 70° (3) 130° ((3) 15. In the given figure, if PQ || RS, then the value of x will be P •Q 120° TOX X 130° S R (1) 110° (2) 70° (3) 130° (4) 115 16.4) 115 16.
Answer:
.
you extend lines AO and DC, they will intersect at a point, say X (draw the new figure to get a better understanding of the later part)
since AB // CD, AX will be a transversal
=> BAO and ZOXC will be co-interior angles
=> BAO + ZOXC= 180°
=> ZOXC= 180 - 104 = 76°
since ZOCX and ZOCD form a line,
ZOCX = 180 - 116 = 64°
OXC forms a triangle
=> sum of angles = 180°
=> ZOXC + ZXCO + COX = 180°
=> 76° + 64° + ZCOX = 180°
=> COX = 180° - 140° = 40°
since x and ZCOX form a line,
x + <COX= 180°
=> x = 140°