Question

The three angles of a triangle are represented by 5x/6,7x/3,13x/3. Find the measure of its obtuse angle.

Answer 1

Answer:

104

Step-by-step explanation:

Sum of all 3 angles of a triangle is 180.

Therefore

5x/6 + 7x/3 + 13x/3 = 180

(5x + 14x + 26x) / 6 = 180

45x/6 = 180

x = 24

The angles are 20, 56 and 104.

The measure of obtuse angle is 104.

Answer 2

Step-by-step explanation:

• 5x/6 + 7x/3 + 13x/3 = 180
• 5x+14x+26x/6=180
• 45x/6=180
• 45x=180×6
• 45x = 1080
• x=1080/45
• x=24
• Hence by putting the value of x in 5x/6 , 7x/3 , 13x/3 we will get the answer as 20,56,104