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Neko [114]
3 years ago
11

Find the value of x in the below complementary angle 3x(5x+2)​

Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

   are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

∴ The value of x is 11

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Answer:

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Step-by-step explanation:

First, we need to find the green angle on the bottom left of the triangle.

We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.

Equation:

114 + a = 180

Solve:

114 + a = 180

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a = 66

Therefore, the value of the green angle is 66 degrees.

Now, we need to find the value of angle x.

We know that the sum of the angles in a triangle is 180 degrees.

So, 56° + 66° + x = 180°

Equation:

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Add:

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Subtract:

122 + x = 180

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x = 58

Therefore, x is 58 degrees.

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