Question

Find the value of x PLEASE EXPLAIN

Answer 1

We can say that:

• In the first triangle, x = 57°
• In the second triangle, x = 111°

Let's go!

We must know that the sum of all the internal angles of a triangle is equal to 180°. So, just solve an equation to determine x in each triangle.

First triangle:

• 67 + 56 + x = 180 → Sum:
• 123 + x = 180 → We move 123 to the other side, changing its signal.
• x = 180 - 123 → Subtract:
• x = 57°

Second triangle:

• 22 + 47 + x = 180 → Sum:

• 69 + x = 180 → We move 69 to the other side, changing its signal.
• x = 180 - 69 → Subtract:
• x = 111°

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Hope this helps! Good studies! ☺

Answer 2

x = 57, x = 111

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

x + 67 + 56 = 180

x + 123 = 180 ( subtract 123 from both sides )

x = 57

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Similarly

x + 47 + 22 = 180

x + 69 = 180 ( subtract 69 from both sides )

x = 111