Question

angles a and b are supplementary .if angle a is X and ange b is x-10 .find the measure of of both angles​

Answer 1

Angle A is 95 degrees and Angle B is 85 degrees.

Explanation:

Since angles a and b are supplementary, their measures add up to 180 degrees.

Let's set up an equation:

X + (X - 10) = 180

Combine like terms:

2X - 10 = 180

Add 10 to both sides:

2X = 190

Divide both sides by 2:

X = 95

So, angle a is 95 degrees and angle b is (95 - 10) = 85 degrees.

Answer 2

The angles are:

x = 95 and x = 85

Work/explanation:

The sum of two supplementary angles is 180°.

The angles are given as x and x - 10, so we form an equation with the given information.

`\sf{x+x-10=180}`

`\sf{2x-10=180}`

Simplify each side

`\sf{2x=180+10}`

`\sf{2x=190}`

`\sf{x=95}`

The other angle is x - 10 thus : 95 - 10 = 85.

Hence, the angles are 85 and 95°.