Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
Angle L is a base angle and measures 36°.
Angle L is a base angle and measures 72°.
Angle L is a vertex angle and measures 36°.
Angle L is a vertex angle and measures 72°.
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OpenStudy (samirahdanyel):
I know its 72
OpenStudy (wolf1728):
A triangle has 180 degrees so angle L should measure
180 -72 -36 ??
Also in an isosceles triangle, the base angles are equal.
OpenStudy (wolf1728):
The three angles are 72 72 and 36
What are the base angles?
OpenStudy (samirahdanyel):
okay cool i understand
OpenStudy (wolf1728):
okay then
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OpenStudy (samirahdanyel):
wait sorry
OpenStudy (samirahdanyel):
the base angle isnt 72
OpenStudy (welshfella):
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OpenStudy (welshfella):
the base angles are marked and are equal
OpenStudy (samirahdanyel):
so i was right . it is 72
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OpenStudy (welshfella):
the 3 angles are either 36,36 and 72 or 36,72, and 72.
Since the 3 angles must add up to 180 degrees only one of these is possible.