Find the measure of angle y
1 answer:
<h2><u>ISOSCELES TRIANGLE</u></h2>
An isosceles triangle is a triangle that has two sides of equal length. In this exercise, we see small lines on two of the sides. This means that those sides are equal.
Equalize the expressions:
<h3>6x - 23 = 4x + 9</h3>Add 23 to both sides of the equation:
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Substract 4x from both sides:
6x - 4x = 4x - 4x + 32
2x = 32
Finally, divide both sides by 2:
Now, let's find the measures of the angles:
- (6x - 23)° = 6(16) - 23 = 96 - 23 = 73°
- (4x + 9)° = 4(16) + 9 = 64 + 9 = 73°
Remember: The sum of the three angles of any triangle is equal to 180 degrees. Let's find the measure of the angle Y:
73° + 73° + Y = 180°
146° + Y = 180°
Y = 180° - 146°
Y = 34°
<u></u>
<h3><u>Answer</u>. m∠Y = 34°</h3>
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