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Bess [88]
3 years ago
14

Find the measure of two supplementary angles if the diffrence in measure of the two angles is 24

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

<u>Answer:</u>

The measure of two supplementary angles are 102^{\circ} \text { and } 78^{\circ}

<u>Solution: </u>

Given that the difference of measure of the two angles is 24

Let the first angle be x and the second angle be x-24. We know when two angles are supplementary their sum is equal to 180^{\circ}

Now since x and (x-24) are two supplementary angles, therefore their sum will be equal to 180^{\circ}

x+(x-24) = 180

2x-24=180

2x= 180+24  

2x = 204

x = \frac{204}{2}

\mathrm{x}=102^{\circ}

The first angle is 102^{\circ}

The second angle is (x – 24) so we get (102 - 24) = 78

Hence the measure of two supplementary angles are 102^{\circ} \text { and } 78^{\circ}

Reil [10]3 years ago
5 0

Answer:

the two angles are 78 and 102 degrees

Step-by-step explanation:

included in the picture is the explanation. Use simultaneous equation to solve. hope this helps :)

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