Find the value of each variable. Write the equation and solve showing ALL the work.
1 answer:
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The complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3
<h3>What are quadrilaterals?</h3>Quadrilaterals are shapes that have four sides and four angles.
The four sides may or may not be congruent, and at the same time the four angles may or may not be congruent
<h3>How to determine the value of x?</h3>The image that completes the question is added at the end of this solution as an attachment
From the attached figure, we have the following highlights
- Opposite angles of the quadrilateral are congruent
- Adjacent sides of the quadrilateral are congruent
This means that:
AD = DC
AB = BC
The quadrilateral shown is a kite
So, we have the following congruent angles:
ADB = CDB
Substitute the measure of both angles
11x = 9x + 6
Subtract 9x from both sides
3x = 6
Divide both sides by 2
x = 2
Hence, the complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3
Read more about quadrilaterals at:
#SPJ1
Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
