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

2 Answers

6 votes

Answer:

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.

User Gsa
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8.3k points
2 votes

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°.

User Bcmcfc
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9.1k points