contestada

Quadrilateral WILDWILDW, I, L, D is inscribed in circle OOO. \overline{WI} WI start overline, W, I, end overline is a diameter of circle OOO. What is the measure of \angle D∠Dangle, D? ^\circ ∘ degrees

Respuesta :

MrRoyal

Question not well presented and diagram is missing

Quadrilateral WILD is inscribed in circle O.

WI is a diameter of circle O.

What is the measure of angle D?

See attached for diagram

Answer:

Step-by-step explanation:

Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.

Given

<WIL = 45°

<ILD = 109°

In the attached;

<WIL + <WDL = 180° (Opposite angle of quadrilateral)

Substitute 45° for <WIL in the above expression

45° + <WDL = 180° ---- Collect like terms

<WDL = 180° - 45°

<WDL = 135°

Hence, the measure of angle D is 135° (See attached)

Ver imagen MrRoyal
lhmarianateixeira

The measure of angle D is 135 degrees.

How many angles does a circle have?

It is irrelevant to ask why the circle has 360 degrees, why it is divided into 360 equal parts or why 1 degree is a unit of measure of angles that corresponds to that of a circle.

Organizing the information given in the statement we have that:

  • <WIL = 45°
  • <ILD = 109°

So the calculation will be given as:

[tex]< WIL + < WDL = 180 \\45 + < WDL = 180\\ < WDL = 180 - 45\\ < WDL = 135[/tex]

See more about angle of circle at brainly.com/question/11833983

Otras preguntas