Find the value of x the diagram is not to scale lines f and g are parallel

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 318 People

1. Find the value of x. The diagram is not to scale. Lines F and G are parallel.
A. 10
B. 11
C. 12
D. -11

2. Find the value of x for which I is parallel to M. The diagram is not to scale.

A. 28
B. 56
C. 84
D. 152

3. Use the diagram to answer the question. Fill in the blank for the letter given with the missing reason in the flow proof.

Answered by maham237 @ 26/12/2020

(1)

we are given that

f and g are parallel lines

so, sum of both angles must be 180

$5x+9x+26=180$

now, we can solve for x

$14x+26=180$

Subtract both sides by 26

$14x+26-26=180-26$

$14x=154$

$x=11$ ...........Answer

(2)

we are given that

l and m are parallel lines

so, alternate angles must be equal

so, we get

$x=28$ ...........Answer

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