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1. 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

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