The angles below are between parallel lines.
What is the value of X?
We have hundreds of course questions with personalized recommendations + Account 100% premium
The angles below are between parallel lines.
What is the value of X?
Our initial objective is to find the angle adjacent to the 94 angle.
Bearing in mind that adjacent angles are equal to 180, we can calculate the following:
Let's now observe the triangle.
Considering that the sum of the angles in a triangle is 180, we can determine the following:
41°
Does the drawing show an adjacent angle?
The 94° angle is outside the triangle! You need its adjacent angle which forms a linear pair. Since adjacent angles on a line sum to 180°, the interior angle is 180° - 94° = 86°.
Look at the diagram carefully. The triangle's three interior angles are: x, 53°, and the angle adjacent to 94° (which is 86°). The 94° extends outside the triangle.
This is a fundamental rule! All triangles, regardless of shape or size, have interior angles that add up to exactly 180°. Write this down: ∠A + ∠B + ∠C = 180°
Yes! You could use the exterior angle theorem: an exterior angle equals the sum of the two non-adjacent interior angles. So 94° = x + 53°, giving x = 41°.
Linear pairs are two adjacent angles that form a straight line. They always add up to 180°. Look for angles that share a vertex and whose non-common sides form a straight line.
Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime