Measure of Angle 1 is 5x. Measure of Angle 3 is x-24. What is the measure of Angle 1?
1 answer:
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<u>Answer:</u>
- x = 5
- y = 3
<u>Solution:</u>
- => x + 4y = 17
-x - 6y = -23
- => -2y = -6
- => y = 3
<u>Now, let's substitute the value of y into the first equation.</u>
- x + 4y = 17
- => x + 4(3) = 17
- => x + 12 = 17
- => x = 5
<u>Let's check our answer to make sure it is correct.</u>
<u>Check:</u>
- -x - 6y = -23
- => -(5) - 6(3) = -23
- => -5 - 18 = -23
- => -23 = -23
Hence, this is proven correct.
Hoped this helped.