Every triangle in the figure at right is equilateral. what is the measure of ∠age?

step:
1. use the corollaries of the isosceles triangle theorem. each angle in an equilateral triangle measures 60° 2. use those two angles to find m∠age.

problem:

m∠AGE is 120 degrees

Step-by-step explanation:

every single triangle has an overall angle measurement of 180°, which means that all of the angles in the triangle add up to 180°.

an equilateral triangle's sides all have the same measurements, as do their angles.

this means that the measurement of one angle on one equilateral triangle is 180°÷3, which equals 60°  (but your problem already gave you that).

∠AGE is two angles of an equilateral triangle added together, which means that ∠AGE is 60°+60°, which equals 120°.

so the answer is 120°.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

answer: 5

step-by-step explanation: