Question

BRAINLIEST IF RIGHT AND ANSWER QUICK BTW 100 points!!!

Answer 1

Solution (1):

We know that:

• Sum of the angles in a quadrilateral = 360°
• Base angles of a trapezoid are equal
• Top angles of a trapezoid are equal

This means that:

• $130 + 130 + \angle1 + \angle1 = 360$

Let's simplify the equation to find ∠1.

Step-by step calculations:

Add the constants:

• $260 + \angle1 + \angle1 = 360$

Add the angles:

• $260 + 2\angle1 = 360$

Subtract 260 both sides:

• $260 - 260 + 2\angle1 = 360 - 260$
• => $2\angle1 = 100$

Divide 2 both sides:

• => $\frac{2\angle1}{2} = \frac{100}{2}$
• => $\bold{\angle1 = 50\°}$

Solution (2):

We know that:

• Sum of the angles in a quadrilateral = 360°

This means that:

• $109 + 87 + 90 + \angle1 = 360\°$

Let's simplify the equation to find ∠1.

Step-by step calculations:

Simplify the LHS:

• $109 + 87 + 90 + \angle1 = 360\°$
• => $286 + \angle1 = 360\°$

Subtract 286 both sides:

• => $286 - 286 + \angle1 = 360 - 286$
• => $\angle1 = 360 - 286$

Simplify the RHS:

• => $\bold{\angle1 = 74\°}$

Answer 2

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#2

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