Quadrilateral ABCD is a rhombus with diagonals AC and BD. If the measure of angle 1 = 25 find the measures of angles 2, 3, 4, and 5. Please explain how to find the measures! Thank you :)

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- May 1st 2007, 04:14 PMlprox015Find The Measures in rhombus
Quadrilateral ABCD is a rhombus with diagonals AC and BD. If the measure of angle 1 = 25 find the measures of angles 2, 3, 4, and 5. Please explain how to find the measures! Thank you :)

- May 1st 2007, 04:43 PMThePerfectHacker
<1 = 25 thus <2 = 25 because angle is bisected in rhombus.

Then <A = <1 + <2 = 50.

Then <B = 180 - 50 = 130.

Then <3 = <4 = 130/2 = 65

Note <5 is exetertios angle for triangle with 1,3, Center.

Thus, <5 = <2+<3 = 25 + 65 = 90.

You can also use the fact the diagnols are perpendicular.