Pls me with this geometry homework:

Step-by-step explanation:

YZXW is a quadrangle.

We know: Angles i quadrangle add up to 360°.

Therefore we have the equation:

m∠DYP + m∠CZR + m∠AXS + m∠BWQ = 360°

Substitute given measures of angles:

46° + 76° + 104° + m∠BWQ = 360°

226° + m∠BWQ = 360°         subtract 226° from both sides

m∠BWQ = 134°

∠BWQ and ∠BWP are supplementary angles (add up to 180°).

Therefore

m∠BWP = 180° - 134°

m∠BWP = 46°

Other method.

m∠CZR + m∠AXS = 76° + 104° = 180°

Conclusion: YZXW is a trapezoid. Therefore CD is parallel to AB.

Therefore ∠DYP and ∠BWP are corresponding angles.

Corresponding angles have equal measures.

Therefore m∠BWP = m∠DYP = 46°