Two supplementary angles are ∠ABC=(3x+25)° and ∠CBD=32° . What is an equation to solve for x ? The equation should be in simplest terms.

Answer 1

Since ∠ABC and ∠CBD are supplementary angles, their measures add up to 180°.

Using this information, we can write an equation to solve for x:

∠ABC + ∠CBD = 180°

(3x + 25)° + 32° = 180°

Simplifying the equation, we get:

3x + 25 + 32 = 180

3x + 57 = 180

Subtracting 57 from both sides:

3x = 180 - 57

3x = 123

Dividing both sides by 3:

x = 123 / 3

Simplifying further, we find:

x = 41

Therefore, the equation to solve for x is:

3x + 57 = 180

Answer 2

Two supplementary angles have the following angle measures: m∠TUV=(2x−25)° and m∠VUW=110° . What is an equation to solve for x ? The equation should be in simplest terms.