Question

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

Answer 1

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

$\implies$3x + 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,

$= \tt 3 \times 27 + 21$

$= \tt 81 + 21$

$= \tt 102$

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

Answer 2

Answer:

• 102 and 102

Step-by-step explanation:

There is no diagram attached

It is assumed the angles are vertical

Vertical angles are congruent as per vertical angles theorem

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

Angle measures

• 3*27 + 21 =81 + 21 = 102

So the answer is

• 102 and 102