Question

Help me ANSWER QUESTION 35 and 36 PLEASEEE THANK YOUUUU<3

Answer 1

Step-by-step explanation:

35.

the angles with x must be equal.

this is just a basic attribute of crossing lines. the crossing angles above and below a picked line are simply the same (just mirrored).

so,

8x + 7 = 9x - 4

11 = x

the angle with y is a complementary angle to either angle with x, as the sum of all angles in one side of a line is 180 degrees. let's pick 8x + 7

so,

7y - 34 + 8x + 7 = 180

7y - 34 + 8×11 + 7 = 180

7y + 61 = 180

7y = 119

y = 17

36.

similar here. just here the y angles are equal, and the x angle is complementary.

5y + 5 = 7y - 9

14 = 2y

y = 7

6x + 50 + 5y + 5 = 180

6x + 50 + 5×7 + 5 = 180

6x + 90 = 180

6x = 90

x = 15

Answer 2

Answer:

see explanation

Step-by-step explanation:

(35)

(9x - 4) and (8x + 7) are vertically opposite and are congruent , then

9x - 4 = 8x + 7 ( subtract 8x from both sides )

x - 4 = 7 ( add 4 to both sides )

x = 11

Then

8x + 7 = 8(11) + 7 = 88 + 7 = 95

(7y - 34) and 95 are adjacent angles on a straight line and sum to 180° , so

7y - 34 + 95 = 180

7y + 61 = 180 ( subtract 61 from both sides )

7y = 119 ( divide both sides by 7 )

y = 17

(36)

(7y - 9) and (5y + 5) are vertically opposite and are congruent , then

7y - 9 = 5y + 5 ( subtract 5y from both sides )

2y - 9 = 5 ( add 9 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

Then

5y + 5 = 5(7) + 5 = 35 + 5 = 40

(6x + 50) and 40 are adjacent angles on a straight line and sum to 180°

6x + 50 + 40 = 180

6x + 90 = 180 ( subtract 90 from both sides )

6x = 90 ( divide both sides by 6 )

x = 15