Given parallel lines AXB and DYZF, and angles X3 = 55^\[\ and Y1 = 45^\[\ (as defined in the solution), find Y2, Z1, and Z3.

May 17, 2026Mathematics

$Given parallel lines AXB and DYZF, and angles X3 = 55^\[\ and Y1 = 45^\[\ (as defined in the solution), find Y2, Z1, and Z3.$

ScanSolve AI Answer

May 17, 2026

Answer

\angle YXZ = 55^\circ$.

Here's how to calculate the required angles:

Given:

Line AXB is parallel to line DYZF ( $AXB \parallel DYZF$ ).
$\hat{X}_3 = \angle YXZ = 55^\circ$ .
$\hat{Y}_1 = \angle XYD = 45^\circ$ .

We need to find $\hat{Y}_2$ , $\hat{Z}_1$ , and $\hat{Z}_3$ .

Step 1: Find $\angle AXY$ . Since $AXB \parallel DYZF$ , $\angle AXY$ and $\hat{Y}_1$ are alternate interior angles. $\angle AXY = \hat{Y}_1 = 45^\circ$

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Quick Answer

Here's how to calculate the required angles: Given: Line AXB is parallel to line DYZF (AXB DYZF).

Asked on May 17, 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 May 17, 2026

Here's how to calculate the required angles: Given: Line AXB is parallel to line DYZF (AXB DYZF). X_3 = YXZ = 55^. Y_1 = XYD = 45^. We need to find Y_2, Z_1, and Z_3. Step 1: Find AXY. Since AXB DYZF, AXY and Y_1 are alternate interior angles. AXY = Y_1 = 45^