# Geometry

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1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW .

2. STUVWXYZ is a regular octagon. Find SW/ TZ.

3. The interior angles of a convex polygon form an arithmetic progression with a common difference of 4 degrees. Determine the number of sides of the polygon if its largest interior angle is 172 degrees.

5. In triangle ABC , angle ABC = 140 degrees. The points D and E are on side AB and AC respectively. If AD= DE= EB= BC , find angle A .

6. TRIANGLE ABC AND TRIANGLE ABD ARE ISOSCELES WITH AB = AC=BD, AND AC INTERSECTS BD AT E. IF AC IS PERPENDICULAR TO BD, FIND ANGLE C + ANGLE D.

7. IN TRIANGLE XYZ, XY = XZ, ANGLE X=80 DEGREES. IF THE POINTS P,Q,R ARE ON SIDES YZ,XZ, AND XY RESPECTIVELY, SUCH THAT QZ=PZ, RY = PY. FIND ANGLE PQR.

8. iN triangle ABC, a point D is on AC so that AB=AD. ANGLE ABC - ANGLE ACB = 30. IND ANGLE CBD.

• Geometry -

Jayden, you will have more success if you post one question at a time, indicating what problem you have with the question and showing what you have done so far.
Nobody is going to just do this assignment for you, that would be cheating.

• Geometry -

5. Angle A = 20 degrees

6. Angle C + Angle D = 90 degrees

7. 50 degrees

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