Posted by **HELP PLS MARVELOUS** on Wednesday, January 9, 2013 at 8:04am.

ABCD is an inscribed quadrilateral. AD, BC are produced to meet at X. If angle B= 80 degrees and angle X= 30 degrees, find angle XCD.

- GEOMETRY -
**Reiny**, Wednesday, January 9, 2013 at 8:47am
I will assume you mean "inscribed in a circle"

In a cyclic quadrilateral, the opposite angles are supplementary, so angle D = 100°

Also angle ADC is an exterior angle in triangle DCX, so

angle DCX + angle CXD = angle ADC

angle DCX + 30 = 100

angle DCX = 70°

- GEOMETRY -
**Anonymous**, Friday, January 11, 2013 at 1:39am
30

- GEOMETRY -
**Jovan Alvin Tapalla**, Monday, January 13, 2014 at 2:22am
50 degrees

## Answer This Question

## Related Questions

- Maths - In a quadrilateral ABCD, angle A = 120 degrees angle B = 140 degrees The...
- MATHS - In a quadrilateral ABCD, Angle A = 120 degrees, Angle B = 140 degrees. ...
- geometry - The following are angles in a convex quadrilateral: Angle A = 75.3 ...
- geometry - For each of the following, tell how many noncongruent triangles PQR ...
- geometry - 3. For each of the following, tell how many noncongruent triangles ...
- Geometry - I have four questions: 1. The area of trapezoid ABCD is 60. One base ...
- 8th grade Math - In a quadrilateral , angle CAB is divided into two comgruent ...
- Geometry - Angle A and Angle B are complementary andgles and the m Angle A = 58...
- geometry - kite ABCD with angle A=60 degrees and angle C=90 degrees, diagonal DB...
- geometry - triangles ABC and XYZ are congruent. Angle A is one half the size of ...

More Related Questions