Question

Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure but are not arranged in the correct order.

1·) x= 15

2.) 75 + 15= 90

3,) 75+x= 90

4,) 75-75 + x = 90-75

Which sequence shows the correct order of the steps Virginia should follow to find the measure of the unknown


A 1234

B 3412

C 4213

D 2314

Answer 1

Option B 3412

Explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2