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Title: Angles

Grade: 6-a Lesson: S4-L3

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

Step	Type	Explanation	Answer
1	Problem	A triangle has angles in the ratio of 2:3:5. If the largest angle is 150 degrees, what are the measures of the other two angles?
2	Step	The ratio of the angles is 2:3:5. This means that the angles can be represented as	2x, 3x and 5x
3	Step	Given that the largest angle is 150 degrees, which corresponds to the 5x angle.	5x = 150°
4	Step	Divide 5 on both sides.	\$(5x)/5 = 150/5\$
5	Step	After simplification	x = 30
6	Step	Now that you have the value of x, you can find the measures of the other two angles:
7	Step	The first angle is 2x	\$2 \times 30 = 60°\$
8	Step	The second angle is 3x	\$3 \times 30 = 90°\$
9	Step	So, the measures of the other two angles are 60° and 90°.
10		Answer	B

Step

Type

Explanation

Answer

Problem

A triangle has angles in the ratio of 2:3:5. If the largest angle is 150 degrees, what are the measures of the other two angles?

Step

The ratio of the angles is 2:3:5. This means that the angles can be represented as

2x, 3x and 5x

Step

Given that the largest angle is 150 degrees, which corresponds to the 5x angle.

5x = 150°

Step

Divide 5 on both sides.

\$(5x)/5 = 150/5\$

Step

After simplification

x = 30

Step

Now that you have the value of x, you can find the measures of the other two angles:

Step

The first angle is 2x

\$2 \times 30 = 60°\$

Step

The second angle is 3x

\$3 \times 30 = 90°\$

Step

So, the measures of the other two angles are 60° and 90°.

Answer