The angles of the triangle are 3x – 40°, x + 20° and 2x – 10° then the value of x is:

a) 40°
b) 35°
c) 50°
d) 45°
$[1]$

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Solution

$W e k n o w t h a t s u m o f t h e a n g l e s o f a t r i a n g l e i s 180 °$

$3 x - 40 + x + 20 + 2 x - 10 = 180 ° 6 x - 30 = 180 ° 6 x = 180 ° + 30 ° x = \frac{210 °}{6} x = 35 °$

Correct Option: b) 35°

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