SOLUTION: In a triangle DEF, m〈E is three times m 〈D, and m〈F is 9 less than m〈E. What is the measure of each angle? Thank u

Question 982145: In a triangle DEF, m〈E is three times m 〈D, and m〈F is 9 less than m〈E. What is the measure of each angle? Thank u
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!

Let x be the measure of the angle LD: x = m(LD) (in degrees).

Then the measure of the angle LE be 3x, and the measure of the angle LF be 3x - 9� degrees.

Since the sum of interior angles of a triangle is equal to 180�, you have an equation

x + 3x + (3x - 9) = 180.

Simplify and solve it:

7x - 9 = 180,

7x = 180 + 9,

7x = 189,

x = = 27�.

Hence, m(LD) = 27�, m(LE) = 3*27� = 81�, and m(LE) = 81� - 9� = 72�.

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SOLUTION: In a triangle DEF, m&#12296;E is three times m &#12296;D, and m&#12296;F is 9 less than m&#12296;E. What is the measure of each angle? Thank u

SOLUTION: In a triangle DEF, m〈E is three times m 〈D, and m〈F is 9 less than m〈E. What is the measure of each angle? Thank u