Question

7. Find x in the figure shown below.​

Answer 1

Answer:

80

Step-by-step explanation:

the adjacent angle of 120° will be 60° (linear pair)

Then the third angle of the lower triangle will be 80° as:-

180-(40+60)

=80

X is 80° alternate to the third angle.

Answer 2

let us name this diagram as follows :-

now,

ABCD is a quadrilateral

where C is extended till E.

According to exterior angle property:-

40⁰ + <BDC = 120⁰

<BDC = 80⁰

Since, AB // CD

X = <BDC (by alternate interior angles)

X = 80⁰