The measure of angle A is 55°.
Solution:
Let us take B be the adjacent angle of 145°.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠B + 145° = 180°
Subtract 145° from both sides.
⇒ m∠B + 145° - 145° = 180° - 145°
⇒ m∠B = 35°
The adjacent angle of 145° is 35°.
In the image, angle B and angle A equal to 90°.
⇒ m∠B + m∠A = 90°
⇒ 35° + m∠A = 90°
Subtract 35° from both sides.
⇒ m∠A = 55°
The measure of angle A is 55°.
Answer:
x=30
Step-by-step explanation:
90+130+x+10+x+x+x=360
230+3x=360
3x=90
x=30
Answer: 32
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Step-by-step explanation:
were the five is how much times you multiply the number by it self
Answer:
or 
Step-by-step explanation:
The given equation is
Let us treat this as a quadratic equation in 
.
where 
The solution is given by the quadratic formula;
We substitute these values into the formula to obtain;
or 
or 
or 
or
Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
=200-40
=160
n(MnS)=n(M)+n(S)-n(MuS)
=140+120-160
=260-160
=100
