Instructions

In each of these questions, two quianitties A and B are given: Compare the two quantities and mark answer as

Question 156

The measures of the angles in triangle P are in the ratio of 2:4:6
The measures of the angles in triangle Q are in the ratio of 1:2:6.
A: The measurements of the largest angle in triangle P
B: The measurements of the largest angle in triangle Q

Solution

Let us take a look at both the quantities, 
A: Largest angle in Triangle P. angles in triangle P are in the ratio of 2:4:6
This is in the ratio 1:2:3

The largest angle will be $$\frac{3}{1+2+3}\times\ 180=90$$

B: Largest angle in Triangle Q, angles in triangle Q are in the ratio of 1:2:6.

The largest angle will be $$\frac{6}{1+2+6}=\frac{2}{3}\times180=120$$

B is larger. 


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