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Examine the figure below B (4x-16)^ (5x+7 ) А Determine which of the following angle measures are correct Select all that apply. m angle ROO=108^ m angle ACB=112^ m angle BCD=68^ m angle BAC=72^ m angle ABC=68

Plz Help ASAPPPP Examine the figure below B 4x16 5x7 А Determine which of the following angle measures are correct Select all that apply m angle ROO108 m angle class=

Respuesta :

Answer: m∠BAC = 72°

. m∠BCD = 108°

I took the test :)

Step-by-step explanation:

The measure of angles from the given diagram is

∠BOD=108°

∠BAC=72°

Given :

From the given diagram , the angles

[tex]<B=4x-16\\<BCA=5x+7[/tex]

Given triangle is an isosceles triangle

∠A=∠BCA

[tex]<A = 5x+7[/tex]

sum of interior angles in a triangle is 180 degrees

[tex]<A+<B+<BCA= 180\\5x+7+4x-16+5x+7=180\\\\14x+7-16+7=180\\14x-2=180\\14x=182\\\frac{14x}{14}=\frac{182}{14}\\x=13[/tex]

substitute the value of x  and find out the remaining angles

[tex]<B=4x-16\\\\<B=4(13)-16=36\\<BCA=5(13)+7=72\\\\<A= 72[/tex]

Angle BCA  and angle BCD are linear pair of angles

[tex]<BCA =72\\<BCD= 180-<BCA\\<BCD=180-72\\<BCD=108[/tex]

<BAC= 72 degrees

Learn more :  brainly.com/question/23833456

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