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Amanda [17]
3 years ago
15

In the figure below, mZ1=(x +48) and m2 2=2xº. Find the angle measures.

Mathematics
1 answer:
NARA [144]3 years ago
6 0
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°
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Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

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We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

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So x can be 3 or 4.

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<h3>If x = 4</h3>

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2 years ago
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