Find the measure of angle x in the figure below: 56
51
72
O 35°
0 470
0 739
0 780

y = 73°

x = 35°

Step-by-step explanation:

1- getting the value of y:

We know that a straight angle has a measure of 180°.

We can note that:

The three angles 51° , 56° and y form a straight angle.

This means that:

51 + 56 + y = 180

107 + y = 180

y = 180 - 107

y = 73°

2- getting the value of x:

Now, in any triangle, the sum of the interior angles must be 180°.

In the given triangle we have:

an angle measuring 72°

an angle y measuring 73°

an angle x that we want to find

Therefore:

72 + 73 + x = 180

145 + x = 180

x = 180 - 145

x = 35°

Hope this helps :)

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

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step-by-step explanation: