Measure of largest angle in a triangle is equals to 104 degrees.
What is triangle?
" Triangle is a 2 dimensional geometrical figure which has three sides and three vertices. Sum of all the angles of triangle is equals to 180°."
According to the question,
x represents the measure of first angle
y represents the measure of second angle
z represents the measure of third angle
Situation 1: First angle is 24 degree more than second angle , it represents the equation:
x = 24 + y        ____(1)
Situation 2: Third angle is four times the measure of second angle, it represents the equation:
z = 4y            ___(2)
Situation 3: Total number of degree in a triangle is 180, it represents the equation :
x + y + z = 180°      ____(3)
Substitute the value of (1) and (2) in (3) we get,
24 + y + y + 4y = 180°
⇒ 6y + 24 = 180°
⇒ 6y = 180 - 24
⇒ 6y = 156
⇒ y = 26degrees
Therefore,
x = 24 + 26
 = 50 degrees
z = 4 × 26
 = 104 degrees
Hence, measure of largest angle in a triangle is equals to 104 degrees.
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