. In ADEF, if m/E is one more than three times m/F and m/D is three more than seven times
m/F, find the measure of each angle.

Answers

The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the measure of m∠F, hence:

m∠E = 3x + 1

m∠D = 7x + 3

Also:

m∠F + m∠D + m∠E = 180° (sum of angles in a triangle)

x + (3x + 1) + (7x + 3) = 180

x = 16

m∠E = 3(16) + 1 = 49°

m∠D = 7(16) + 3 = 115°

The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

∠D, ∠E and ∠Fin the triangle are115°, 49° and 16°respectively## What is an

equation?expressionthat shows therelationship between two or more numbers and variables. An independent variable is a variable that does not dependon other variables while a dependent variable is a variablethat dependson other variables.m∠F + m∠D + m∠E = 180°(sum of angles in a triangle)x = 16∠D, ∠E and ∠Fin the triangle are115°, 49° and 16°respectivelyequationat: https://brainly.com/question/2972832