please help me guys, it's urgent
Answers
Answer:
A.
A is 30° and B is 40°.
B.
A is 35° and B is 37°.
C.
A is 55° and B is 15°.
Step-by-step explanation:
A.
Since Angle A was on the same diagonal but opposite side of where 30° is, Angle A must be 30°. Same logic goes for B.
B.
Angle P and R should be the same. Angles Q and S should be the same too. Angle Q therefore must be 110° too. Adding the two angles together, you get 220°.
Because the sum of the angles in a quadrilateral is always 360°, We subtract 220° from 360° to get the value of the remaining angles.
You get 140°. Since Angle P and R are the same value, you split 140° in halves to get 70°. 2A is equal to 70°.
2A = 70° Divide both sides by 2
A = 35°
2B - 4 = 70° Add 4 to each side
2B = 74° Then divide each side by 2
B = 37°
C.
Following the same logic used in A, we get two equations
A = 2A - 55
and
2B + 10 = 160 - 8B
A = 2A - 55 Add 55 to each side
A + 55 = 2A Subtract A from each side
A = 55°
2B + 10 = 160 - 8B Divide each side by 2
B + 5 = 80 - 4B Add 4B to each side
5B + 5 = 80 Subtract 5 from each side
5B = 75 Divide each side by 5
B = 15°
Answer:
(a). 40degree +30degree+a+b=180degree
70degree+a+b=180degree
a+b=180degree -70degree
a+b=110 degree
I don't think its correct .
Step-by-step explanation: