If δrst is an equilateral triangle, find x and y.

x = 120y = 30

Step-by-step explanation:

The value of x can be arrived at a couple of ways:

it is supplementary to angle RST, which is 60° in an equilateral triangle.it is the sum of opposite interior angles STR and SRT, both of which are 60° in an equilateral triangle.

x° = 120°

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Triangle RSU is isosceles, so angles SUR and SRU are congruent. Their sum is 60° (which you know two ways*), so each is 30°.

y° = 30°

* The two ways you know are based on (a) the sum of angles in a triangle is 180°, so y° +y° +120° = 180°  ⇒  y = (180 -120)/2 = 30; and (b) angle RST is 60° and is the exterior angle that is the sum of opposite interior angles y° and y°  ⇒  y = 60/2 = 30.

The answer to your question is d 68%

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c