In the figure below, point h is the incenter of def, and m dhf=130. what is the measure of def?

The measure of angle DEF is ∠DEF=80°

Step-by-step explanation:

we know that

The incenter is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle

The triangle DEF is an isosceles triangle

∠EDF=∠EFD

so

In the triangle DHF

∠HDF=∠HFD

∠HDF+∠DHF+∠HFD=180°

substitute the value

2∠HDF+130°=180°

∠HDF=25°

therefore

∠EDF=2*25°=50°

In the triangle DEF

∠EDF+∠DEF+∠EFD=180°

∠EDF=∠EFD=50°

substitute

50°+∠DEF+50°=180°

∠DEF=80°

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

the olimpics is not going to wokk out

step-by-step explanation: