Question

7. (a) In the fig. (1) given below, DE || BC. Find the value of x.
(b) In the fig. (ii) given below, AP = 3y. Find the values of x and y
(c) In the fig. (it) given below, find the size of each lettered angle.​

Answer 1

Step-by-step explanation:

i. ..........

=> angle DEC + angle C = 180°..... consecutive

angle

=> 95° + angle C = 180°

=> angle C = 180° - 95°

=> angle C = 85°

As we know tha sum of all interior angles is equal to 180°.

=> angle A + angle B + angle C = 180°

=> x + 50° + 95° = 180°

=> x + 145° = 180°

=> x = 180° - 145°

=> x = 35°

ii. ............

=> Given tha angle P is equal to 3y.

A/q

=> 3y + y + 100° = 180°

=> 4y = 180° -100°

=> 4y = 80°

=> y = 80°/4

=> y = 20°

=> Using exterior angle property,

=> x + 60° = 100°

=> x = 100° - 60°

=> x = 40°

iii. ..........

=> 143 ° + z = 180°.......linear pair

=> z = 180° - 143

=> z = 33°

=> Sum of interior angles = 180°

=> 80° + 52 ° + x = 180°

=> 132° + x = 180°

=> x = 180° - 132°

=> x = 58°

=> y + x + z = 180°

=> y + 58° + 33° = 180°

=> y = 180° - 91 °

=> y = 89°

Answer 2

Answer:

hope it helps you

mark me as a brainlist

follow for more easy and amazing answer