Internal angles

One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles.

Correct answer:

a =  85 °
b =  70 °

Step-by-step explanation:


a+b+c = 180
c = 25
a-b = 15

a+b+c = 180
c = 25
a-b = 15

Row 3 - Row 1 → Row 3
a+b+c = 180
c = 25
-2b-c = -165

Pivot: Row 2 ↔ Row 3
a+b+c = 180
-2b-c = -165
c = 25


c = 25/1 = 25
b = -165+c/-2 = -165+25/-2 = 70
a = 180-b-c = 180-70-25 = 85

a = 85
b = 70
c = 25

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