Answer:
a) a = 140°
b) a = 70°
b = 70°
c = 110°
c) a = 9
b = 9
c = 9
d) x = 8
y = 4
f) a = 45°
b = 135°
c = 135°
Step-by-step explanation:
a) Sum of angles in a quadrilateral = 360°
90°+ 100°+ 30° + a = 360°
220° + a = 360°
a = 360° - 220°
a = 140°
b) Sum of angles in a quadrilateral = 360°
Here, c is equal to it's opposite angle i.e. 110°
And a and b are equal, so we can replace b with a.
So, 110° + a + b + c = 360°
110° + a + a + 110° = 360°
220° + 2a = 360°2a = 360° - 220°
a = [tex]\frac{140}{2}[/tex]
c) ac and b9 are the diagonals. If we say the intersecting point as O,
then, AO = BO = CO = 9
d)The opposite sides of a rectangle are equal.
e) It is not clear whether it is a proper square or not. Please give full information and give any one angle.
f) a is equal to 45°. So we can replace a with 45°.
b is equal to c. So we can replace c with b.
45° + a + b + c = 360°
45° + 45° + b + b = 360°
90° + 2b = 360°
2b = 360° - 90°
b = 270° ÷ 2
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Answers & Comments
Answer:
a) a = 140°
b) a = 70°
b = 70°
c = 110°
c) a = 9
b = 9
c = 9
d) x = 8
y = 4
f) a = 45°
b = 135°
c = 135°
Step-by-step explanation:
a) Sum of angles in a quadrilateral = 360°
90°+ 100°+ 30° + a = 360°
220° + a = 360°
a = 360° - 220°
a = 140°
b) Sum of angles in a quadrilateral = 360°
Here, c is equal to it's opposite angle i.e. 110°
And a and b are equal, so we can replace b with a.
So, 110° + a + b + c = 360°
110° + a + a + 110° = 360°
220° + 2a = 360°2a = 360° - 220°
a = [tex]\frac{140}{2}[/tex]
c) ac and b9 are the diagonals. If we say the intersecting point as O,
then, AO = BO = CO = 9
d)The opposite sides of a rectangle are equal.
e) It is not clear whether it is a proper square or not. Please give full information and give any one angle.
f) a is equal to 45°. So we can replace a with 45°.
b is equal to c. So we can replace c with b.
45° + a + b + c = 360°
45° + 45° + b + b = 360°
90° + 2b = 360°
2b = 360° - 90°
b = 270° ÷ 2
If you liked the answer, please mark me as brainliest and say thanks.