Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees.
2x+50+3x=90
5x+50=90
5x=40
x=8
So the smallest angle is 3x=3*8=24°
Answer:
5 millimetres
Step-by-step explanation:
Area of rectangle = lenght x width
35 = 7 x width
Width = 35/7
Width = 5 mm
The answer is 7/1 which is just 7
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
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