Question 20
1 answer:
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Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = = 35°
m∠8 = m∠9 = = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
Answer:
49.5 square inches
Step-by-step explanation:
We can split the figure into two easier shapes to find the area of; a triangle and a square.
The formula for a triangle is (b*h)1/2. Once we solve we get 24.5 or 24 1/2.
The formula for a square is l*w. Once we solve we get 25.
To find the area of the shaded region, we would add both area and get 49.5 or 49 1/2 square inches.
