Answer:
Perfect!
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
Looks like you got both of those. Good job!
<1 + <2 = 90
<1 = 55
90-55=35
<2=35
<2+ <3= 180
180-35= 145
<3 = 145 degrees
You did awesome! Amazing job!
Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:
Then:
m< 1 + m < 38° = 180°
m < 1 = 180° — m < 38°
m < 1 = 142°
Since m < 1 = m < 3, then m < 3 = 142°
Answer:
Step-by-step explanation:
a(20ft)
b(46ft)
c(72.6mm)
Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x
