Please help me with this question

The angles are corresponding

The angles are congruent

x = 12

Step-by-step explanation:

From the given figure

∵ l // m, and t intersect them (t is the transversal)

∵ The angles of measures (4x - 6)° and (3x + 6)° are on the same side of t

∵ The angle of measure (4x - 6) above line m

∵ The angle of measure (3x + 6) above line l

∴ The angles of measures (4x - 6)° and (3x + 6)° are corresponding angles

∴ The angles are corresponding

∵ Corresponding angles are equal in measures

∴ (4x - 6)° = (3x + 6)°

∴ The angles are congruent

∵ The angles are congruent

→ Equate their measures

∴ 4x - 6 = 3x + 6

→ Add 6 to both sides

∴ 4x - 6 + 6 = 3x + 6 + 6

∴ 4x = 3x + 12

→ Subtract 3x from both sides

∴ 4x - 3x = 3x - 3x + 12

∴ x = 12

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

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