Question
The measures of the three angles of a triangle are in
the ratio 17 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles.Solution
Let the angles be 17x, 13x, and 15x. 17x + 13x + 15x = 180 ⟹ 45x = 180 ⟹ x=4 Angles are 17 × 4 = 68° , 13 × 4 = 52°, and 15 × 4 = 60°. Greatest angle = 68°, Smallest angle = 52°. Difference = 68 – 52 = 16°.
More Previous year papers Questions
- It was Thursday on February 8, 2024, then, what will be the day on February 8, 2028?
It will be Saturday on November 12, 2022. What will be the day on November 12, 2028?
- What is the angle between the hour hand and the minute hand at 7:45 AM?
At what time between 3:30 and 4 will hands of a clock be at the right angles?
It was Tuesday on February 8, 2022. What will be the day on February 8, 2027?
- What is the angle between the hour hand and the minute hand at 3:30 AM?
Day before yesterday is Ranjan’s birthday. On the same day next week falls ‘Christmas’. Today is Saturday, what will be the day after Christmas�...
- The year next to 2014 will have the same calendar as that of the year _________.
Mishti's birthday is on Thursday 27th April. On what day of the week will be Aradhya's Birthday in the same year, if Aradhya was born on 20
- It was Monday on November 12, 2018. What will be the day on November 12, 2028?
Relevant for Exams:
