In the figure, if angleP = (x + 15). angleQ = xº, angle R=(x +30)° then find the value of x and hence the measures of angle P, angle Q and angleR. Write the longest and the shortest sides. State the reason.
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Answer:
P = 60, Q = 45, R = 75
Step-by-step explanation:
As we know that the sum of all the sides of a triangle is 180 degrees
Therefore, x + 15 + x + x + 30 = 180
3x + 45 = 180
3x = 180 - 45
3x = 135
x = 135/3
x = 45
P = x + 15 = 45 + 15 = 60
Q = x = 45
R = x + 30 = 45 + 30 = 75
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