Find m angle d for m angle b = 65 The figure is not drawn to scale

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

egoroff_w [7]3 years ago

5 0

Answer:

50°

Step-by-step explanation:

Angle of arc AC = 2 × 65 = 130

(Angle at the centre is twice the angle on the circumference)

Tital angle of the quadrilateral with one vertex at the centre = 360

m(D) + 90 + 90 + 130 = 360

m(D) = 360 - 310 = 50°

You might be interested in

Evaluate \dfrac{3}{2}+(-k)+(-2)

Dimas [21]

As I understand, we need to evaluate the given rational expression, we will get that the evaluated expression is equal to - 1/10

<h3>Evaluating expressions:</h3>

Evaluating an expression just means that we need to replace the variable in the expression for a given value, here we have the expression:

$\frac{3}{2} + (-k) + (-2)$

And we want to evaluate it in:

$k = -\frac{2}{5}$

So we just need to replace k by that value in the above expression, we will get:

$\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)$

Now we can just solve this:

$\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)\\\\\frac{3}{2} + \frac{2}{5} + (-2)\\\\\frac{15}{10} + \frac{4}{10} + (-2) = \frac{19}{10} - \frac{20}{10}= -\frac{1}{10}$