bigrome10
Answered

The measures of the angles in △ABC are given by the expressions in the table.


Angle Measure

A 65°

B (3x−10)°

C (2x)°

Find the value of x. Then find the measures of angles B and C.




Enter your answers in the boxes.

x =


m∠B=

º


m∠C= ​

º

Verified Answer :

taskmasters

We know that the summation of angles of a triangle is 180°. Then we can measure angles of B and C by,
m∠A + m∠B + m∠C=180° 
65° + (3x−10)° + (2x)°=180°
Solve for variable x by transposing and combing same terms,
5x=180°- 65°+ 10° 
x=125/5, x=25
Since we already know the value of x, we can proceed in solving B and C
B=(3x−10)°=3(25)-10=65 
C=2x=2(25)=50
Therefore, the answers are x=25, B=65 and C=50.

oldcoolschool

the summation of angles of a triangle is 180°.  measure angles of B and C by,
m∠A + m∠B + m∠C=180° 
65° + (3x−10)° + (2x)°=180°
5x=180°- 65°+ 10° 
x=125/5, x=25
B=(3x−10)°=3(25)-10=65 
C=2x=2(25)=50

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