Question

the measure of angle of triangle are 80 degree 2x degree and 3x degree the measures of the two angles are-
Please give the answer fast
I will mark them as brainliest

Answer 1

Answer:

$\boxed{40^{o} \; and \; 60^{o} }$  

Step-by-step explanation:

Given :

The Three angles of a triangle are 80°, 2x° and 3x°

To Find:

The measures of the two angles = ?

$\boxed{\boxed{\italics{{SOLUTION:}}}}$

Sum of the angles of a Triangle = 180°           (Angle Sum Property)

⇒80°+ 2x° + 3x°= 180°  

⇒80°+ 5x°= 180°  

⇒ 5x°= 180° - 80°

⇒5x°= 100°

⇒x°= 100°÷ 5

⇒x°=20°

∴The measures of the two angles = (2 × 20°)  and (3 × 20°)

                                                       = $\boxed{40^{o} \; and \; 60^{o} }$  

$\boxed{\boxed{Verification}}$

Sum of the angles of the given Triangle = 40° + 60° + 80°

                                                                = 180°           Thus Verified