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 :)
Answer:
The measure of two supplementary angles are [tex]102^{\circ} \text { and } 78^{\circ}[/tex]
Solution:
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 [tex]180^{\circ}[/tex]
Now since x and (x-24) are two supplementary angles, therefore their sum will be equal to [tex]180^{\circ}[/tex]
x+(x-24) = 180
2x-24=180
2x= 180+24
2x = 204
[tex]x = \frac{204}{2}[/tex]
[tex]\mathrm{x}=102^{\circ}[/tex]
The first angle is [tex]102^{\circ}[/tex]
The second angle is (x – 24) so we get (102 - 24) = 78
Hence the measure of two supplementary angles are [tex]102^{\circ} \text { and } 78^{\circ}[/tex]
