Given the triangles below are congruent, fill in the blanks with the appropriate information The image contains two triangles, PQR and STU. Both triangles have a side labeled "4 cm."**Triangle PQR:**- Angle at Q: 60°- Angle at R: 30°- Side QR: 4 cm**Triangle STU:**- Angle at T: 60°- Angle at S: labeled as angle y- Side TU: 4 cm- Angle at U: labeled as angle xBelow the triangles, there are fill-in-the-blank statements:"The triangles are congruent by _ [type your answer] _ and the value of x is _ [type your answer] _ degrees whereas the value of y is _ [type your answer] _ degrees."This problem involves identifying the congruence in the triangles and calculating the unknown angles, x and y.

From the figure, x=30° & 60° +30° +y=180 or y=90°

Answered: \60° 30 A60° 4 cm R T 4 cm the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Given the triangles below are congruent, fill in the blanks with the appropriate information

The image contains two triangles, PQR and STU. Both triangles have a side labeled "4 cm."

**Triangle PQR:**
- Angle at Q: 60°
- Angle at R: 30°
- Side QR: 4 cm

**Triangle STU:**
- Angle at T: 60°
- Angle at S: labeled as angle y
- Side TU: 4 cm
- Angle at U: labeled as angle x

Below the triangles, there are fill-in-the-blank statements:

"The triangles are congruent by _ [type your answer] _ and the value of x is _ [type your answer] _ degrees whereas the value of y is _ [type your answer] _ degrees."

This problem involves identifying the congruence in the triangles and calculating the unknown angles, x and y.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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