maheshpdxb47
maheshpdxb47 maheshpdxb47
  • 04-01-2020
  • Mathematics
contestada


5ABCD is a quadrilateral. AO and BO are the angle bisectors of A
and B which meet at O. If C = 70°, D=50°, find aob​

Respuesta :

kenlingdad kenlingdad
  • 04-01-2020

Answer:

60°

Step-by-step explanation:

sum of interior angles of quadrilateral is 360°

∠C = 70°

∠D = 50°

∠C + ∠D = 120°

∴ ∠A + ∠B = 360° - 120° =240°

AO and BO bisect ∠A and ∠B

∠OAB + ∠OBA = 1/2 x ( ∠A + ∠B) = 120°

∠AOB = 180° - (∠OAB + ∠OBA) = 180° - 120° = 60°

Ver imagen kenlingdad
Answer Link

Otras preguntas

What did John Rolfe contribute to the Jamestown colony's success?
Night by Elie Wiesel changes and traditions
Is it true that Muslims did not have to pay taxes encouraged many people in Northern Africa to convert to Islam?
what animal has the lowest hearing​
Why did six U.S. senators sue the federal government seeking to prevent President Clinton and all future presidents from using the line-item veto? A) The senato
Why would advancements in technology affect globalization
What was a mayor of the palace
A small population of red birds lived in a habitat that did not undergo changes for a long period of time. The birds were geographically isolated from other red
y=6x-3 y=2x-7 Solve using substitution please
After your first meeting, if the lawyer you are considering says “I will win this case. In fact, I’ve never lost a case like this.” then you should feel _____.