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Step-4

Title: Angles

Grade: 10-a Lesson: S1-L2

Explanation:

Step	Type	Explanation	Answer
1	Problem	If three angles 3x, 5x and x together form a straight angle, find the angles.
2	Step	Given	Three angles 3x , 5x and x
3	Step	We know the straight angle = 180°	3x + 5x + x = 180°
4	Step	After simplication we get	9x = 180°
5	Step	After simplication we get	x = 20°
6	Step	Now substitute the x value	3x = \$3 times 20\$ = 60°
7	Step	Now substitute the x value	5x = \$5 times 20\$ = 100°
8		Answer	The angles are 20° , 60° and 100°

Step

Type

Explanation

Answer

Problem

If three angles 3x, 5x and x together form a straight angle, find the angles.

Step

Given

Three angles 3x , 5x and x

Step

We know the straight angle = 180°

3x + 5x + x = 180°

Step

After simplication we get

9x = 180°

Step

After simplication we get

x = 20°

Step

Now substitute the x value

3x = \$3 times 20\$ = 60°

Step

Now substitute the x value

5x = \$5 times 20\$ = 100°

Answer

The angles are 20° , 60° and 100°