10 + f = 10
-10 -10
f = 10 - 10
f = 0.
Answer:
Angle EDC = Angle ADC
(Reflexive property)
ABD ~ ECD because all angles are congruent
If two are congruent, third one has to be as well since total angle is 180 each
The value of each measure based on the incenter is illustrated below.
<h3>What is incenter?</h3>
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
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