Question

12. In a right-angled triangle, the ratio of the angles other than right angle is 5: 4. What are the angles?
13. In an isosceles triangle, each base anglei s three times the vertical angle. Find the measures of all the angles of the triangle?
14. The base angle of an isosceles triangle is 27° more than its vertical angle. Find all the angles of the triangle?
15. The vertical angle of an isosceles trianglei s 30° more than its base angle. Find the measures of all the angles of the triangle?​

Answer 1

Answer:

12) angles are 50° & 40°

13)angles are 180/7° ,540/7° and 540/7°

14) angles are 42°,69°,69°

Step-by-step explanation:

Remember the two base angles are same in isosceles triangle.

12)

let other angles be 5x° and 4x°

5x°+4x°+90°=180°

9x=180°-90°

9x=90°

x=10°

5x=50°

4x=40°

13)

let the vertical angle be x

then base angles = 3x & 3x

x+3x+3x=180°

7x=180°

x=180°/7 3x=540°/7

14)

let the vertical angle be x

base angle becomes x+27

x+x+27+x+27=180°

3x+54=180°

3x= 126

x=42°

x+27= 42+27=69