Question

in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable. ​

Answer 1

Answer:

180-85=95

180-95=85

5x=85

x=17

Answer 2

For given figure, x = 17° and y = 95°

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given ∠1 = 5x°, the measure of ∠2 = y°, and the measure of ∠3 = 85°

we know, the sum of all the angles on one side of a straight line is always 180°

So, we get two equations.

∠1 + ∠2 = 180°                   .....................(i)

and ∠2 + ∠3 = 180°            .....................(ii)

First we solve equation (ii) to find the value of ∠2

⇒ ∠2 + ∠3 = 180°

⇒ y + 85° = 180°

⇒ y = 95°

Now substitute this value of ∠2 in equation (i)

⇒ ∠1 + ∠2 = 180°

⇒ 5x° + y° = 180°

⇒ 5x° + 95° = 180°

⇒ 5x° = 85°

⇒ x = 17°

Therefore,  x = 17° and y = 95°

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