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Here is the diagram |dw:1450043564961:dw|
I cannot tell from the diagram which angles have measures 8x and 10x. |dw:1450045744545:dw|
There are 3 angles at vertex B. I do not know which one has measure 8x. If you clear up the diagram, then I can help.
Angle A (the whole angle) is equal to 7x-3, Angle B (The whole angle) is equal to 8x, and Angle C (The whole angle) is equal to 10x.
Basically, angle A is equal to angle BAD, B is equal to angle ABC, etc.
Are you given on your text diagram which pairs of sides of the kite are congruent? We need to know where they are so that we can find the one pair of congruent angles of the kite.
Yeah, side BC = CD, and side BA = AD
Which pair of angles would be congruent?
I think angles B and D.
Correct. Do you remember what the sum of the interior angles of a quadrilateral is? For a triangle, it would be 180 but for a quadrilateral the sum is greater than that.
Correct. Because angles B and D have the same measure, think of the mystery angle D as having measure the same as B which is 8x. That done, solve this equation for x: 7x - 3 + 8x + 10x + 8x = 360 |dw:1450046740214:dw|
Oh ok, thanks! So x = 11, and D = 88˚?
Post what you get for x, okay? Then, one more step and this problem will be solved.
Yes. That is what I got. Though not asked, we ended up with two angles of 88 and two others of 110 and 74. They sum to 360 as we knew they would.
Cool, thank you!
You are welcome.