Answer:
The measure of other three angles are 135° , 45° and 45°
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
So if we consider a parallelogram ABCD ,
Angle A = Angle C
Angle B = Angle D
If we take angle A = 135° then angle C = 135°
SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.
A+B+C+D=360°
135°+B+135°+D=360°
270°+B+D=360°
But B=D
So,2B=90°
B=45°
D=45°
So A = C = 135°
A = C = 135° B = D = 45°
A = C = 135° B = D = 45°
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Answer:
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Step-by-step explanation:
Answer:
115.47 feet
Step-by-step explanation:
You know the relation between opposite and adjacent sides of an angle in a right triangle is ...
Tan = Opposite/Adjacent
If the "adjacent" side of the angle of elevation is the distance of the man from the building, we have ...
tan(30°) = (100 ft)/d1
and
tan(60°) = (100 ft)/d2
Solving these equations for d1 and d2 gives ...
d1 = (100 ft)/tan(30°)
d2 = (100 ft)/tan(60°)
Then the distance between the two men is ...
d = d1 -d2 = (100 ft)(1/tan(30°) -1/tan(60°)) ≈ 115.47 ft
The distance between the two men is about 115 feet.