Point X is the circumcenter of ΔABC.

Point X is the circumcenter of triangle A B C. Lines are drawn from each point of the triangle to point X. The lengths of the line segments are 5.3 centimeters. Lines are drawn from point X to the sides of the triangles to form right angles. The lengths of the lines segments are 3.2 centimeters. Line segments X M, X N, and X L are formed. The length line segment M B is 2.3 centimeters.

What is the length of XB?
4.2 cm 4.6 cm 4.8 cm 5.3 cm

5.3 cm

Step-by-step explanation:

I got it right on the test

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

idk

step-by-step explanation: