Please help! If GDEF is a square, GE=4x+1 and DF=8x-51, find the value of x.
2 answers:
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Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute