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Elden [556K]
3 years ago
12

3x + 21 6x - 60 find the two angles measure from the diagram answers 78,102 78,78 or 102,102​

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

\large\orange{\tt Correct \: Question :-}

\implies3x + 21 = 6x - 60 find the two angles measure from the diagram answers 78, 102 or, 78, 78 or, 102, 102

\large\blue{\tt Given :-}

\to\tt3x + 21 = 6x - 60

\large\green{\tt To  \: Find :-}

\to\tt The  \: two \:  angles

\large\red{\tt Solution :-}

We have,

  • The angles are vertical

We know that,

\boxed{\tt Vertical  \: angles \:  theorem}

Then,

:\implies\tt3x + 21 = 6x - 60

:\implies\tt 3x - 6x = - 60 - 21

:\implies\tt\cancel- 3x = \cancel- 81

:\implies\tt x = \frac{\cancel{81}}{\cancel3}

:\implies\boxed{\orange{\tt x = 27}}

\large\pink{\bf Angle \:  measures :-}

\to\tt 3x + 21

Substituting the value of x,

= \tt 3 \times 27 + 21

= \tt 81 + 21

= \tt 102

\therefore\bf The \:  answer  \: is \:  102 \:  \& \:  102

shepuryov [24]3 years ago
7 0

Answer:

  • 102 and 102

Step-by-step explanation:

There is no diagram attached

It is assumed the angles are vertical

<u>Vertical angles are congruent as per vertical angles theorem</u>

  • 3x + 21 = 6x - 60
  • 6x - 3x = 21 + 60
  • 3x = 81
  • x = 81/3
  • x = 27

<u>Angle measures</u>

  • 3*27 + 21 =81 + 21 = 102

<u>So the answer is</u>

  • 102 and 102
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