Find the values of x and y in the given diagram.

April 4, 2026Mathematics

ScanSolve AI Answer

April 4, 2026

Answer

$\text{88}^\circ$

Step 1: Find the value of $y$ . The sum of the interior angles in a triangle is $180^\circ$ . $41^\circ + 92^\circ + y = 180^\circ$ $133^\circ + y = 180^\circ$ Subtract $133^\circ$ from both sides: $y = 180^\circ - 133^\circ$ $y = 47^\circ$

Step 2: Find the value of $x$ . Angles on a straight line sum to $180^\circ$ . The angle $92^\circ$ and angle $x$ form a linear pair. $92^\circ + x = 180^\circ$ Subtract $92^\circ$ from both sides: $x = 180^\circ - 92^\circ$ $x = 88^\circ$

The values are: $x = \text{88^\circ}$ $y = \text{47^\circ}$

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QThe expression x2 + 10x + 18 can be written as (x + p)2 + q, where p and q are integers. Find the va…QGiven that V = (1)/(3)pi r2 h , make h the subject.QIf 2^-n = x, find 2^n.QAn arc of length 22 cm subtends an angle 0 at the centre of a circle. If the radius of the circle is…QGiven that cos p = 7/25, 0° < p < 90°, find the value of sin p.

See all Mathematics questions →

Still have questions?

Quick Answer

Find the value of y. The sum of the interior angles in a triangle is 180^.

Asked on April 4, 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 4, 2026

Step 1: Find the value of y. The sum of the interior angles in a triangle is 180^. 41^ + 92^ + y = 180^ 133^ + y = 180^ Subtract 133^ from both sides: y = 180^ - 133^ y = 47^ Step 2: Find the value of x. Angles on a straight line sum to 180^. The angle 92^ and angle x form a linear pair. 92^ + x = 180^ Subtract 92^ from both sides: x = 180^ - 92^ x = 88^ The values are: x = 88^ y = 47^