Respuesta :

carlosego
To solve this problem you must apply the proccedure shown below:
 1. As you can see in the figure attached, the angle A and the angle B are congruent, which means that both has the same value.
 2. Keeping ths on mind you have:
 [tex]10x+24=6x+72[/tex]
 3. Now, you cam solve for x:
 [tex]10x-6x=72-24 \\ 4x=48 \\ x=12[/tex]
 4. When you susbtitute the value of x into the equation to calculate the angle A, you obtain:
 [tex]A=10(12)+24 \\ A=144[/tex]
 The answer is: [tex]144 degrees[/tex]
CastleRook
To solve the question we proceed as follows:
∠A=∠B
this is because they are exterior alternate angle.
a] To solve for x we shall plug in the values as follows:
10x+24=6x+72
putting like terms together we obtain:
10x-6x=72-24
4x=48
dividing 4 from both sides:
(4x)/4=48/4
x=12

b] The value of A will be found by plugging the value of x in the equation for angle A we and simplifying we obtain:
∠A=10x+24
=10(12)+24
=120+24
=144

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