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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

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 class=

Verified Answer :

Iamthelionqueen

Answer:THE CORRECT ANSWER ISSSSSS x=25

mb=65

mc=50



The required  measure angles B and C of are 65° and 50° and value of x = 25.

Given,

The measures of the angles in △ABC are 65°
,  (3x−10)°
, (2x)°.

We have to find,

The value of x Then measures of angles B and C.

According to the question,

The sum of all internal angles of a triangle is always equal to 180°.

65°  + 3x − 10°

  • 2x° = 180

    5x + 55 = 180

    5x = 180 - 55

    5x = 125

    x = \(\frac{125}{5}\)

    x = 25

    The  required value of x = 25.

    Then, The required angle are,

    3x - 10 = 3(25) - 10 = 65°

    2x = 2(25) = 50°

    The required angles are 65° and 50° .

    For more information about Triangle click the link given below.https://brainly.com/question/2773823



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