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timama [110]
3 years ago
10

Find the value of the missing variables.

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is 70^{\circ}, this means the central angle has the same measure.

Angle with measure x^{\circ} is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}

Angles with measures x^{\circ} and y^{\circ} are complementary angles (add up to 90°), so

y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}

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