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Answers:

x = 10

y = 61

Explanation:

The two angles at the bottom add to 180, since they form a straight angle.

y+119 = 180

y = 180-119

y = 61

The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines

5x+11 = y

5x+11 = 61

5x = 61-11

5x = 50

x = 50/5

x = 10

Note that

5x+11 = 5*10+11 = 50+11 = 61

which matches with y = 61, so that helps confirm the right x value.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540