The image shows a diagram with angles. Solve for x and state the definition of angles at a point.

April 7, 2026Mathematics

ScanSolve AI Answer

April 7, 2026

Answer

$\text{*80^\circ*}$

Here are the solutions based on the image:

1. Solving for $x$ in the angle equation:

Step 1: Sum the known angles. $30^\circ + 70^\circ = 100^\circ$

Step 2: Substitute the sum into the given equation. $100^\circ + x = 180^\circ$

Step 3: Isolate $x$ by subtracting $100^\circ$ from both sides. $x = 180^\circ - 100^\circ$ $x = 80^\circ$ The value of $x$ is $\boxed{*80^\circ*}$ .

2. Definition of angles at a point:

Angles which meet at a point: The sum of all angles around a point is $\boxed{*360^\circ*}$ .

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Quick Answer

1. Solving for x in the angle equation: Step 1: Sum the known angles.

Asked on April 7, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 7, 2026

Here are the solutions based on the image: 1. Solving for x in the angle equation: Step 1: Sum the known angles. 30^ + 70^ = 100^ Step 2: Substitute the sum into the given equation. 100^ + x = 180^ Step 3: Isolate x by subtracting 100^ from both sides. x = 180^ - 100^ x = 80^ The value of x is 80^. 2. Definition of angles at a point: Angles which meet at a point: The sum of all angles around a point is 360^.