Question

The three angles of a triangle have measures of 56°, (2x + 40)° and x°. What are the measures of the three angles of the triangle?

Answer 1

$\bf\underline{\underline{\green{SOLUTION:-:-}}}$

Question

• The three angles of a triangle have measures of 56°, (2x + 40)° and x°. What are the measures of the three angles of the triangle?

Given

• Three angles are 56°, 2x+40,x

Answer

• Angles are = 56°, 96°, 28°

To Calculate

• Measure of three angles __?

Step by step explanation

Let

First Angle ➫ 56°

Second Angle ➫ 2x+40

Third Angle ➫ x

We know that,

${\boxed{\red{\tt{Sum\:Of \: all \: Angles \:Of \:Triangle = 180°}}}}$

putting values ,

➫ 56 ° + 2x+40° + x = 180

➫ 3x +96=180

➫ 3x = 180-96

➫ 3x = 84

➫ x= 84/3

➫ x= 28

First angle ➫ 56°

Second Angle ➫ 2x+40 = 2×28+40= 96°

Third Angle ➫ 28°

$\bf\underline{\underline{\green{HENCE:-:-}}}$

• Angles are 56°, 96°, 28°

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