What is the measure of angle R?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

7 0

Answer:

$m\angle R=37^{\circ}$

Step-by-step explanation:

We have been given a diagram of a circle. We are asked to find the measure of angle R.

Since QR is the tangent of our given circle, so measure of angle Q will be 90 degrees as radius is perpendicular to tangent at point of tangency.

Now, we will use angle sum property to solve for angle R as:

$m\angle P+m\angle Q+m\angle R=180^{\circ}$

$53^{\circ}+90^{\circ}+m\angle R=180^{\circ}$

$143^{\circ}+m\angle R=180^{\circ}$

$143^{\circ}-143^{\circ}+m\angle R=180^{\circ}-143^{\circ}$

$m\angle R=37^{\circ}$

Therefore, the measure of angle R is 37 degrees.

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

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Step-by-step explanation:

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