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UkoKoshka [18]
3 years ago
13

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali

gned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Answer:

x=35^\circ

Step-by-step explanation:

From the diagram which I have drawn and attached below:

56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ

Next, in the triangle, the sum of the three interior angles:

y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ

The value of angle x is 35 degrees.

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