Math Problem Statement

Construct a quadrilateral pqrs such that PQ = 6.3 CM P is equals to 3.8 CM angle Q = 95 degree angle are equals to 85 degree angle is equal to 110 degree hint angle p equals to 360 - angle Q + angle are + angle S show this with a diagram shown that numbers also

Solution

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If you want to construct the quadrilateral PQRSPQRS yourself, you can follow the steps outlined using geometry tools like a protractor and ruler.

Quadrilateral Construction Steps Summary

  1. Draw line segment PQPQ = 6.3 cm.
  2. At point QQ, draw Q=95\angle Q = 95^\circ.
  3. At point RR, draw R=85\angle R = 85^\circ.
  4. Ensure PS=3.8cmPS = 3.8 \, \text{cm}.
  5. At point SS, draw S=110\angle S = 110^\circ.
  6. Connect points to form the quadrilateral.

The calculated angle P\angle P is 7070^\circ.

Related Questions

  1. How can you find the measure of an unknown angle in a quadrilateral?
  2. What are the properties of a quadrilateral?
  3. How do you construct angles using a protractor?
  4. What are the types of quadrilaterals based on angle measures?
  5. How does the sum of interior angles vary with different polygons?
  6. What tools are essential for constructing geometric diagrams?
  7. Can you explain the process of verifying the accuracy of angle measurements?
  8. What are some practical applications of quadrilateral constructions?

Tip

When constructing quadrilaterals, double-check each angle and side length with a ruler and protractor for accuracy to ensure the shape is correctly formed.

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Math Problem Analysis

Mathematical Concepts

Geometry
Quadrilaterals
Angle Measurement

Formulas

-

Theorems

Sum of Interior Angles of a Quadrilateral

Suitable Grade Level

Grades 7-9