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Find the measure of angle DCA if D is the incenter of the triangle ABC.
Explain step by step please!
 one year ago
 one year ago
Find the measure of angle DCA if D is the incenter of the triangle ABC. Explain step by step please!
 one year ago
 one year ago

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ForeverisabellBest ResponseYou've already chosen the best response.0
@ZeHanz this one.
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
OK, the incenter is the intersection of the angle bisectors. You have two more angles now!
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
Also in this one, would y = 60?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
y=60 degrees, if the triangle is supposed to be equilateral.
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
alright , now for the other problem, how do you find the measure of angle DCA?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
Better question, what are the measures of the angles CAB and ABC?
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
111 is the measure of ABC
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
I meant they all equal 180. But the missing one is 111.
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
DOn't know how you get these numbers. Remember: the lines drawn to the incenter are the angle bisectors. That means: angle CAB = 2*32 = ... angle ABC = 2*37 = ... Add these and subtract from 180 to get angle ACB.
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
But why did you times 2 times each?
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
never mind I know why now.
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
So the measure of angle DCA would be 32 + 42 + what?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
Look at the drawing. The numbers are the measures of half the angles, because the lines to the incenter are the: angle b i s e c t o r s...
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
DC is bisector of the angle we just found: 42 degrees, so 21 degrees is the measure of DCA!
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
But I thought the wanted the measure of the whole angle?
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
Measure of DCA = 21 degrees it seems really small?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
I'll make a drawing, hold on...
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
Im pretty sure I understand now. They just want the measure of C?
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
Also I know that a squared + b squared = c squared. But this triangles does not show any angles so except 90 degrees. So Im not sure how to find x?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
If there is a right angle in the triangle (there is!) then a²+12²=20². You can work out a now.
 one year ago

ForeverisabellBest ResponseYou've already chosen the best response.0
Yeah But I can't seem to get it? how to get a?
 one year ago

ZeHanzBest ResponseYou've already chosen the best response.1
a²=256, so a=16, right!
 one year ago
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