Solve, using the substitution method.
1 answer:
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<h3><u>Answer</u><u>:</u></h3>
- m = 10°
- ∠MHL = 30°
∠MHL and ∠MHJ are supplementary angles that is some of the measure of both angle is 180°, because these angle are on a line.
∠MHL + ∠MHJ = 180°
substituting values.
⟹ (2m + 10)° + (5m + 100)° = 180°
⟹ 5m + 2m + 10 + 100 = 180°
⟹ 7m + 110 = 180°
⟹ 7m = 180° - 110°
⟹ 7m = 70°
⟹ m = 70/7
⟹ m = 10
m = 10°
measure of ∠MHL is
⟹ (2m + 10 )°
⟹ 2(10°) + 10°
⟹ 20° + 10°
⟹ 30°
∠MHL = 30°
3:8 can also be written as 3/8
12:32 can also be written as 12/32
So thus 3:8 is equivalnt to 12:32
12:32 can also be written as 12/32
So thus 3:8 is equivalnt to 12:32