Question

(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.​

Answer 1

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 2

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°