Answer:
1. Complementary Angles.
2. x=60°
Step-by-step explanation:
Part 1:
*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.
In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.
Part 2:
1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.
2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:
2x=120
3. Now we will divide both sides by 2
[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]
4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.
