Question

The exterior sides of two adjacent angles make a right ttiangle. The first angle has a measure that is 6 more than half of the second. Find the measures of both angles.

Answer 1

'x' can be the smaller angle, and 'x + 6' can be the larger angle. We know these two sides have to add up to 90, so we can write:

x + x + 6 = 90

Combine like terms:

2x + 6 = 90

Subtract 6 to both sides, what's 90 - 6?

Answer 2

84

Answer 3

Yes, so we have:

2x = 84

Now we divide 2 to both sides, what's 84 / 2?

Answer 4

42

Answer 5

Yes, so the smaller angle is equal to 42.

Now we add 6 to find the bigger angle, what's 42 + 6?

Answer 6

48

Answer 7

Yes, so the smaller angle is 42, and the bigger angle is 48.

Answer 8

thank you so much!

Answer 9

No problem.

Answer 10

you should probably close the question @jackl because it is answered.