The ratio of the measures of the three angles is 4: 5: 6. find the measure of each angle of the triangle

Let the number be x.

Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.

Then, the angles be 4x , 5x and 6x respectively.

We know that: The sum of all the measures of angles is 180 degree.

then;

Combine like terms;

Divide by 15 both sides we get;

Then, the measure of each angle of triangle:

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step-by-step explanation:

∡ eia and ∡ kij are congruent

step-by-step explanation: