Question

Point Z is the incenter of ΔSRT.

Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A Z R is 35 degrees. Angle Z R C is 35 degrees. Angle B S Z is 24 degrees. Angle Z S A is 24 degrees.
What is mAngleZTB?

24°
31°
35°
62°

Answer 1

The value of angle ZTB = 31 degree (half angle of STB ) ,Option B is the correct answer.

What is a Triangle ?

A triangle is a polygon with three sides , angles and vertices.

It is given that Point Z is the incenter of triangle S R T.

Incenter is where all the angkle bisectors of a triangle meet

It can be seen from the figure that the value of Angle RST = 48 degree as the value of the half angle is 24 degree

SRT = 70 degree as the value of half angle  is 35 degree

By the angle sum property

48 +70+ Angle STR = 180 degree

angle STB = 62degree

Therefore the value of angle ZTB = 31 degree (half angle of STB )

Therefore Option B is the correct answer.

To know more about Triangle

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Answer 2

Answer:

B

Step-by-step explanation:

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