Question

4. a.In a triangle, the first angle is greater than the second angle by 18° and less than the third by 10 grade Express all the angles of the triangle in grades.​

Answer 1

Answer:

Explanation: SUM OF THE ANGLES  OF TRIANGLE = 180°

LET A,B AND C BE THE SIDES OF TRIANGLE.

A/Q,

A=B+18°    

B= A-18°   ..... 1

A=C-18°

C=A+18°  .....2

NOW,A+B+C= 180°

LET US TAKE A+18° ON THE PLACE OF C AND A-18° ON THE PLACE OF B

∴A+A-18+A+18+=180°

3A+36°=180°

3A=180°-36°

3A=144°

A=144°/3

A=48°

∴B=A-18°

=48°-18°

=30°

∴C=A+18°

=48°+18°

=66°