Math  /  Geometry

QuestionIn the figure shown to the right, one angle measurement is given. Find χp\chi_{p}. \qquad xp=x_{p}= \square 00^{\circ}

Studdy Solution

STEP 1

1. The angles form a linear pair, meaning they are adjacent and their non-common sides form a straight line.
2. The sum of angles on a straight line is 180180^\circ.

STEP 2

1. Identify the relationship between the angles.
2. Set up the equation based on the relationship.
3. Solve for the unknown angle xpx_p.

STEP 3

Identify that the given angles, 5555^\circ and xpx_p, form a linear pair. Therefore, their sum is 180180^\circ.

STEP 4

Set up the equation based on the relationship:
55+xp=180 55^\circ + x_p = 180^\circ

STEP 5

Solve for the unknown angle xpx_p:
xp=18055 x_p = 180^\circ - 55^\circ

STEP 6

Calculate the value:
xp=125 x_p = 125^\circ
The measure of angle xpx_p is:
125 \boxed{125^\circ}

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