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find the value of x in the figure given then find the measure of angle y

Find The Value Of X In The Figure Given Then Find The Measure Of Angle Y class=

Sagot :

Answer:

x = 33

Angle Y = 105°

Explanation:

The sum of the interior angles of a polygon with 5 sides is equal to 540°. So, we can write the following equation:

4x + 113 + (3x+8) + (2x + 9) + 113 = 540

So, solving for x, we get:

4x + 113 + 3x + 8 + 2x + 9 + 113 = 540

9x + 243 = 540

9x + 243 - 243 = 540 - 243

9x = 297

9x/9 = 297/9

x = 33

Then, using the value of x, we can calculate the value of the angle with measure (2x + 9) as:

(2x + 9) = 2(33) + 9

(2x + 9) = 75

Finally, this angle and the angle Y are supplementary, the sum of them is equal to 180°, so the measure of angle Y can be calculated as:

(2x + 9) + Y = 180°

75° + Y = 180°

Y = 180° - 75°

Y = 105°

So, x is equal to 33 and the measure of angle Y is 105°

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