Question

Pls answer question attached below

Answer 1

Angle XYP = 55°

Explanation:

Let us assume that,

→ Missing angle = x

We know that,

→ Sum of all angles of straight line is 180°

Forming the equation,

→ x + 80° + 45° = 180°

Now the value of x will be,

→ x + 80° + 45° = 180°

→ x + 125° = 180°

→ x = 180° - 125°

→ [ x = 55° ]

Hence, missing angle is 55°.

Answer 2

55°

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As per question the angle XYZ is the sum of three angles.

Set up equation and find the missing angle measure:

• m∠XYP + m∠PYD + m∠DYZ = m∠XYZ
• m∠XYP + 80 + 45 = 180
• m∠XYP + 125 = 180
• m∠XYP = 180 - 125
• m∠XYP = 55