Question

An exterior angle of a triangle is 42o and the ratio of its opposite interior
angles is 2:5. Find the larger of the two interior angles.

Answer 1

Answer:

2x + 5x = 42

7x = 42

x = 42/7

x = 6

2x = 2×6 =12

5x = 5×6 =30.

5x is greater.

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Answer 2

Answer:

30°

Step-by-step explanation:

Given ratio, 2:3

let 2:5 be 2x and 5x

now,

       2x+5x=42[exterior angle property]

       7x=42    

        x=6

 ∵2<5

∴5x=5×6=30

  2x=2×6=12

12<30

∴30 is the largest interior angle