FIRST ANSWER WILL GET BRAINLIEST In parallelogram EFGH, m∠1 = 3x – 5, m∠2 = x + 10, and m∠3 = 2x + 15.
2 answers:
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Answer:
The pair of solutions are
Step-by-step explanation:
Solving for in equation 2.
Adding both sides.
Substituting value of in equation 1.
Simplifying it further. Subtracting from both sides.
Subtracting both sides.
Now we have a quadratic equation to solve.
Solving quadratic by factor method.
Splitting the middle term into two terms such that
By factoring 6 we can get the terms.
As we know
So, the equation would be
Now, we factor in pairs.
Taking as common factor from first two terms and taking
common from last two terms.
Taking as common factor from the whole.
The roots can be written as:
Solving for from the above we get
Plugging the values of in the equation
When
So is one solution.
When
So is another solution.