Question

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Answer 1

25.5 degrees

Explanation:

Let the first angle be x degrees, and second angle be y degrees.

Condition # 1:

x = 5y - 13 --------------------(1)

Condition # 2:

x + y = 140 -------------------(2)

Put Eq. (1) in (2)

5y - 13 + y = 140

5y + y - 13 = 140

6y - 13 = 140

Add 13 to both sides

6y = 140 + 13

6y = 153

Divide both sides by 6

y = 25.5 degrees

Now, put the value of y in Eq. (1)

x = 5(25.5) - 13

x = 127.5 - 13

x = 114.5 degrees

So, the measure of smaller angle is:

= 25.5 degrees

`\rule[225]{225}{2}`

Hope this helped!

~AH1807