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Step-4

Title: Ratios

Grade: 8-a Lesson: S2-L1

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	The angles of a triangle are in the ratio 5:4:9. Find the angles.
2	Hint	Operator used : Ratio	:
3	Step	Let the angles	\$5x, 4x, 9x\$
4	Step	We know that the sum of angles in the triangle	180°
5	Step	On Simplification	\$5x + 4x + 9x\$ ⇒ 180°
6	Step	On Cancillation	\$\cancel18^1x\$ ⇒ \$\cancel180°^10\$ ⇒ \$x\$
7		=	\$x = 10\$
8	Step	Thus	the angles are 50°, 40°, 90°

Step

Type

Explanation

Answer

Problem

The angles of a triangle are in the ratio 5:4:9. Find the angles.

Hint

Operator used : Ratio

Step

Let the angles

\$5x, 4x, 9x\$

Step

We know that the sum of angles in the triangle

180°

Step

On Simplification

\$5x + 4x + 9x\$ ⇒ 180°

Step

On Cancillation

\$\cancel18^1x\$ ⇒ \$\cancel180°^10\$
⇒ \$x\$

\$x = 10\$

Step

Thus

the angles are 50°, 40°, 90°