Question

In the following equilateral triangle,
each angle has a measure of 10x + 20.

X=[? ]

Answer 1

Answer:

4°

Step-by-step explanation:

All the angles in a triangle add together to equal 180°. We know there are three angles of 20° so let's subtract this.

20° × 3 = 60°

180° - 60° = 120°

Now well divide 120° up among the three angles.

120° ÷ 3 = 40°

Now we know the angles are 40° + 20°, but we need to find the value of x, so divide 40° by 10

40° ÷ 10 = 4°

x = 4°

Answer 2

Answer:4

Step-by-step explanation: Since you know this triangle is an equilateral, you know all angles are the same, so you should automatically multiply 10x+20 by 3. You would then get 30x+60. Since all triangle's total angle sum is 180, you know to set 30x+60 to 180.

At this point this might seem new, but this is where you isolate x. First you move the 60, but subtracting it from both sides. This gets you 30x=120.  You divide 30 on both sides and you finally get your answer: 4.