Solve for x. (parallelogram)
1 answer:
The value of x is 55°
Step-by-step explanation:
Given figure is a parallelogram.
In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.
This means that,
in the given parallelogram
m∠A=m∠C=x°
m∠B=m∠D=(2x+15)°
The sum of interior angles of a parallelogram is 360 degrees.
So,
m∠A+m∠B+m∠C+m∠D=360°
Putting the values of angles
The value of x is 55°
Keywords: Parallelogram, angles
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To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:
To do this division process, we have:
1. Divide the first term of the dividend by the first element of the divisor. They are:
2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:
And since we to subtract this result from the dividend, we end up with:
3. Then we have the following algebraic addition:
4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:
5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:
Since we have to subtract this from the dividend, we have:
6. And we have to add this algebraically to the dividend we got in the previous step:
And this is the remainder of the division, x + 5.
As we can see from the division process, we got as:
1. The quotient: -x + 5
2. The remainder: x + 5.
Since we have that the dividend = divisor * quotient + remainder.
Therefore, the result for this division is:
