Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?

Answer 1

The sum of the two adjacent angles should be equal to 90°, so we can set up the equation:

(x+4)° + (3x+2)° = 90°

Combining like terms, we have:

4x + 6 = 90

Subtracting 6 from both sides, we get:

4x = 84

Dividing both sides by 4, we find:

x = 21

Therefore, x = 21.

Answer 2

Two adjacent angles form a resulting angle with measure 160° . m∠1=3x° and m∠2=(2x+10)° . Solve for x . What are the two unknown angles’ measurements?(1 point)