Question

Solve for x and show all work.

Answer 1

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• x = 21°

• y = 29°

Explanation

To find value of x.

⇢ (3x - 3)° = 60°

Reason:-{

They both are alternate interior angles.

What is alternate interior angles.?

When two lines are cut by a third line, a transversal.}

⇢ 3x - 3° = 60

⇢ 3x = 60° + 3°

⇢ 3x = 63°

⇢ x = 63°/3°

⇢ x = 21°

Verification:

⇢ (3x - 3)° = 60°

⇢ (3 × 21 - 3)° = 60°

⇢ 63° - 3° = 60°

⇢ 60° = 60°

LHS = RHS

HENCE VERIFIED!

To find value of y.

⇢(4y + 4)° + 60° = 180°

Reason:-{

The lines are in linear pair.

What is linear pair?

A pair of adjacent angles that form angles when two lines intersect}

⇢ (4y + 4)° + 60° = 180°

⇢ (4y + 4)° = 180° - 60°

⇢ 4y + 4° = 120°

⇢ 4y = 120° - 4

⇢ 4y = 116°

⇢ y = 116/4°

⇢ y = 29°

Verification:

⇢ (4y + 4)° + 60° = 180°

⇢ (4 × 29 + 4)° + 60° = 180°

⇢(116 + 4)° + 60° = 180°

⇢ 120° + 60° = 180°

⇢ 180° = 180°

LHS = RHS

HENCE VERIFIED!

__________________

~WindyMint♡

Answer 2

By using the equivalence of the formed angles, the solution is x = 41.

How to get X?

Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.

Then we will have that:

(3x - 3)° + 60° = 180°

Now we can solve that for x:

(3x - 3)° = 180° - 60° = 120°

3x = 120 + 3

x = 123/3 = 41

The solution is x = 41

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372