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tiny-mole [99]
3 years ago
5

Please solve as soon as possible I really appreciate it thank you!

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer: d) 60

Step-by-step explanation:

so two numbers a+b=90 and also a-b=30

Lets assume a is the larger number. So we can plug and chug for time purposes I will explain why 60 is the answer. so 60-30=30 so b would be 30 and a would be 60. Also a+b or 60+30= 90 and that is the case the smaller number is 30 and the larger number is 60

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In the diagram below, AB | CD, AD || BC, mZCDE = 45° and
aleksandrvk [35]

Answer:

The measure of angle ADE is equal to 62 degrees.

Step-by-step explanation:

Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:

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Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:

ADE = 107 - 45

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