Question

question 1 (academic integrity statement); question 2: two complementary angles. one angle is 20 more than the second angle, find the measure of the second angle is \\_\\_\\_ degrees; question 3 (partial)

Explanation:

Step1: Define variables

Let the measure of the second angle be \( x \) degrees. Then the first angle is \( x + 20 \) degrees.

Step2: Use complementary angles property

Since the two angles are complementary, their sum is \( 90^\circ \). So we set up the equation: \( x+(x + 20)=90 \)

Step3: Solve the equation

Simplify the left side: \( 2x+20 = 90 \)
Subtract 20 from both sides: \( 2x=90 - 20=70 \)
Divide both sides by 2: \( x=\frac{70}{2}=35 \)

Answer:

35