In triangle abc, if m∠a is six less than 7 times x, m∠b is five less than three times x, and m∠c is five less than four times x, find x and the measure of each angle.

m∠a=92°

m∠b=37°

m∠c=51°

Step-by-step explanation:

we know that

The sum of the measure of the internal angles of a triangle must be equal to 180 degrees

we have that

m∠a+m∠b+m∠c=180°  -----> equation A

m∠a=(7x-6)°

m∠b=(3x-5)°

m∠c=(4x-5)°

substitute the given values in the equation A and solve for x

Find the measure of each angle

m∠a=(7(14)-6)=92°

m∠b=(3(14)-5)=37°

m∠c=(4(14)-5)=51°

option: d is correct

step-by-step explanation: