sauce99 sauce99
  • 25-04-2017
  • Mathematics
contestada

Point O is the incenter of ΔABC. What is mQBO? mQBO is ___ degrees.

Point O is the incenter of ΔABC What is mQBO mQBO is degrees class=

Respuesta :

mohabbasem
mohabbasem mohabbasem
  • 25-04-2017
Ok, so you already know that mQBO = 3x-15°
You just need to find x. 

You use mSAO and mQAO to solve for x. You can also see that triangle AOS and triangle AQO are similar. Solve these two equations for x and mAOQ:

90+(2x+6)+mAOQ = 180
90+(4x-12)+mAOS = 180

x=9 and mAOQ=mAOS=66°

Now you can find mQBO, by simple algebra: 
3x-15=3*9-15=12

So, mQBO is12 degrees.

Answer Link

Otras preguntas

70 POINTS QUESTION ATTACHED (actually attached this time lol)
1273.948 rounded to nearest hundredth
Please please someone help! I need this class to graduate Which of the following is NOT a proven benefit for breastfed babies? A. Breastfed babies have a lower
What are examples of non-specific defenses?
Can anyone help me with this
Kyra needs help planning what images and text to use in her web page what technique can help her Color selection (I think it’s this one but I’m not sure) Rev
someone pays $1.54 in sales tax. the sales tax rate is 5.5% what is the original price before tax
If different groups of scientist have access to the same data, how can they draw different conclusions?
Select the TWO correct statements. The product of 3/5 and 4 is greater than 4. The product of 3/5 and 4 is less than 3/5. The product of 1 1/2 and 2 is greate
what is the energy input in the model shown​