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Square RSTU is inside trapezoid RSVU. What is the measure, in degrees, of angle VSR? R. REN T Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. Your answer​

Square RSTU is inside trapezoid RSVU What is the measure in degrees of angle VSR R REN T Only 0 1 2 3 4 5 6 7 8 9 and are allowed in your answer Answers that ar class=

Respuesta :

akposevictor

Answer:

135°

Step-by-step explanation:

m<VSR = m<RST + m<VST

Each angle at the vertices of a square is equal to 90°. <RST is one of the vertices of square RSTU, therefore,

m<RST = 90°

also, m<VST = 90 - 45 = 45°

m<VSR = m<RST + m<VST

Thus:

m<VSR = [tex] 90 + 45 = 135 [/tex]

Measure of angle VSR is 135°

shubhamchouhanvrVT

The angle VSR will be equal to 135°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

m∠VSR = m∠RST + m∠VST

Each angle at the vertices of a square is equal to 90°. ∠RST is one of the vertices of square RSTU, therefore,

m∠RST = 90°

also, m∠VST = 90 - 45 = 45°

m∠VSR = m∠RST + m∠VST

Thus:

m∠VSR = 135

Therefore the measure of angle VSR is 135°

To know more about an angle follow

https://brainly.com/question/25770607

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