Jamiasimmons3210 Jamiasimmons3210
  • 03-06-2021
  • Mathematics
contestada

In circle O, AE and DC are chords and intersect at B. If arc AC is 36 degrees and arc DE is 20 degrees, what is the measure of angle ABC? (Type in numbers only)

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 05-06-2021

Answer:

8degrees

Step-by-step explanation:

Since the angle at the vertex is half the difference of the angles at the arc, hence;

<B  = 1/2(36 - 20)

<B = 1/2 (16)

<B = 8

Hence the measure of angle ABC is 8degrees

Ver imagen abidemiokin
Answer Link

Otras preguntas

Balance the following reaction. A coefficient of "1" is understood. Choose option "blank" for the correct answer if the coefficient is "1". KI + Pb(NO3)2 → PbI2
A cube has dimensions of 5.5 cm, 3.0 cm, and 2.0 cm. What is its volume?
please help me with this geometry problem
can someone find the solution to the system of equations
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
An item has a listed price of $40 . If the sales tax rate is 6% , how much is the sales tax (in dollars)?
An earthquake with a rating of 4.4 can cause destruction in areas of up to 100 kilometers that are populated.what is the value of x when the richter scale ratin
Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee that ΔXYZ ≅ ΔABC? Check all that
What is the essential when quoting another authors work
Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 6x + 12 = 0