mwms2018sg
mwms2018sg mwms2018sg
  • 25-07-2020
  • Mathematics
contestada

Angle bisectors AX and of triangle ABC meet at point I. Find angle C in degrees, if AIB = 109.

Angle bisectors AX and of triangle ABC meet at point I Find angle C in degrees if AIB 109 class=

Respuesta :

mathmate
mathmate mathmate
  • 25-07-2020

Answer:

angle C = 38 degrees

Step-by-step explanation:

Refer to attached figure (sorry, forgot to attach earlier)

Given

AIB = 109

Let

CAX = XAB = x

CBY = YBA = y

XIB = YIA = x+y    ........exterior angles

XIB = YIA = 180-109 = 71   ............ sum of angles on a line

=>

x+y = 71

ACB = 180 - 2x -2y  ................. sum of angles of a triangle

= 180 - 2(x+y)

= 180 - 2(71)

= 180 - 142

= 38

Ver imagen mathmate
Answer Link

Otras preguntas

Refer to the passage. He shall have Power, by and with the Advice and Consent of the Senate, to make Treaties, provided two thirds of the Senators present con
ruby has planted a total of 40 plants in her new garden.32 of these are pink azaleas. what percentage of the plants are pink azaleas
How does pH of stomach affect human health ?
A toy car (200g) moves by shooting a plastic ball (50g) horizontally out the back. The average acceleration of the car is 1.2m/s² [E] and there is negligible fr
write each expression as a power of a where a does not equal 0 (a^2a^4)÷a^-3/a÷(a^2a^3)^4 PLEASEE HELP
What is the tempering of steels? Why is tempering necessary?
the sum of three consecutive natural number is increased by 2,the result is 50 . what is the number​
What’s the integration of x^3 from -5 to 3
pls help me with this.find the x-intercept,y-intercept,domain,and range.​
English Bravia book class 9 solution of worksheet no 70​