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26 votes
26 votes
B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find:

1. m/LOD=
2. mLODI =
3. Measure of LO = Why?
4.Measure of ID= Why? ​

B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find: 1. m/LOD= 2. mLODI-example-1
User Evenwerk
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1 Answer

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15 votes

1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°

2) As referred to in the first question, angle ODI measures 122°

3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16

4) LI=ID, so ID=21

User Raj Bhatia
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