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Butoxors [25]
3 years ago
6

Find the value of y in the diagram below

Mathematics
2 answers:
nikdorinn [45]3 years ago
4 0

Answer:

x=7 and y=12.

Step-by-step explanation:

If two lines intersect each other then vertical opposite angles are equal.

13x-26=7x+16

13x-7x=26+16

6x=42

Divide both sides by 6.

x=7

The value of x is 7.

(7x+16)^\circ=(7\cdot 7+16)^\circ=(49+16)^\circ=65^\circ

Same side interior angles are supplementary angles.

(7x+16)^\circ+(9y+7)^\circ=180^\circ

65^\circ+(9y+7)^\circ=180^\circ

(9y+7)^\circ=180^\circ-65^\circ

(9y+7)^\circ=115^\circ

On further simplification we get

9y+7=115

9y=115-7

9y=108

Divide both sides by 9.

y=12

Therefore, the value of y is 12.

elena55 [62]3 years ago
3 0

we \: can \: tell \: that \\ 1. \:  \: 13x - 26 = 7x + 16 \\ 2. \:  \: 7 x + 16  + 9y + 7  = 180\\ from \: 1. \\ 6x = 42 \: so \: x = 7 \\ from \: 2. \\ y = 12
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