📐 geometry

1. **State the problem:** Calculate the area of the given polygon which consists of a rectangle and a triangular section attached to its right side. 2. **Identify the dimensions:**

1. **Problem Statement:** We have a quadrilateral ABCD with sides AB = 9.8 cm, BC = 9.5 cm, CD = 5.2 cm, AD = 12.3 cm, and angle \(\angle DAB = 40.5^\circ\). We need to find:

1. **Problem Statement:** We have a quadrilateral ABCD with sides AB = 9.8 cm, BC = 9.5 cm, CD = 5.2 cm, diagonal AC = 12.3 cm, and angle \(\angle BAD = 40.5^\circ\). We need to fi

1. **Problem:** Given that □ROCK is a rhombus, and angles m∠KCR = 7x - 9 and m∠OCR = 5x + 5, find the value of $x$. 2. **Understanding the problem:** In a rhombus, the diagonals bi

1. **Problem statement:** We have a right triangle ABC with a right angle at B. Side AB is labeled as $x$, side BC is $4\sqrt{2}$, and point E lies on AC such that AE is $3\sqrt{2}

1. **Problem statement:** We need to find the size of angle $x$ in a triangle where the other two angles are $62^\circ$ and $135^\circ$. 2. **Angle facts used:**

1. **Problem statement:** We need to find the size of angle $x$ in a diagram where three angles are given: $63^\circ$, $x$, and $134^\circ$. The angles are arranged around a triang

1. **State the problem:** We need to find the size of angle $x$ in a triangle formed by two intersecting lines with given angles $63^\circ$ and $134^\circ$. 2. **Identify angle fac

1. **Problem Statement:** Find the sum of the interior angles of a regular polygon with 7 sides (a heptagon). 2. **Formula:** The sum of the interior angles $S$ of a polygon with $

1. The problem asks for the sum of the interior angles of a polygon with 7 sides (a heptagon). 2. The formula to find the sum of interior angles of any polygon with $n$ sides is:

1. **Problem 1:** Find the area of the region enclosed between two circles given by $$x^2 + y^2 = 1$$

1. The problem asks for the sum of the interior angles of a polygon with seven sides, called a heptagon. 2. The formula to find the sum of interior angles of any polygon with $n$ s

1. **Problem statement:** We have an irregular pentagon with internal angles 68°, 101°, 116°, and 21°, and a triangle sharing one side with the pentagon. We need to find the size o

1. **State the problem:** We have a triangle sharing a side with an irregular pentagon. We need to find the size of angle $g$ in the triangle. 2. **Identify known angles:** The pen

1. **Problem statement:** We need to find the size of angle $g$ in a figure where a triangle shares a side with an irregular pentagon. Given angles are 68°, 77°, 116°, 101°, and 21

1. **State the problem:** We need to find the size of angle $k$ in a non-convex quadrilateral with given angles $29^\circ$, $244^\circ$, and $35^\circ$.\n\n2. **Recall the formula:

1. **Problem:** Given that RO = 2x + 6 and KC = 5x - 3 in parallelogram □ROCK, find $x$. **Step 1:** Recall that in a parallelogram, opposite sides are equal. So, $RO = KC$.

1. Problem: Given that RO = 2x + 6 and KC = 5x - 3 in parallelogram □ROCK, find x. Step 1: State the property used: In a parallelogram, the diagonals bisect each other, so RO = KC.

1. **State the problem:** We have an isosceles triangle ABC with AB = AC, and angles ABC and ACB given by expressions in terms of $x$: $\angle ABC = 3x^2 - 2x + 4$ degrees and $\an

1. The user asked for geometry problems with images. 2. Currently, I cannot generate or embed images directly.

1. **Stating the problem:** Find the area of circular sectors with given radii and angles.