Activity 1: Find the measure of the following angles: given m∠1 = 130° and m∠7 = 70°. 1. m∠2 2. m∠3 3. m∠4 4. m∠5 5. m∠6 pls paki sagot po kailangan ko po ngayon
Answer (1)
Answer:Here's how to find the measures of the angles, assuming we're dealing with parallel lines cut by a transversal: Understanding the Relationships - Corresponding Angles: Angles in the same position relative to the transversal and the parallel lines are congruent (have the same measure).- Alternate Interior Angles: Angles on opposite sides of the transversal and inside the parallel lines are congruent.- Alternate Exterior Angles: Angles on opposite sides of the transversal and outside the parallel lines are congruent.- Same-Side Interior Angles: Angles on the same side of the transversal and inside the parallel lines are supplementary (add up to 180 degrees). Solving the Problem 1. m∠2: ∠2 and ∠1 are corresponding angles, so m∠2 = m∠1 = 130°.2. m∠3: ∠3 and ∠1 are supplementary angles (they form a straight line), so m∠3 = 180° - m∠1 = 180° - 130° = 50°.3. m∠4: ∠4 and ∠1 are alternate interior angles, so m∠4 = m∠1 = 130°.4. m∠5: ∠5 and ∠7 are corresponding angles, so m∠5 = m∠7 = 70°.5. m∠6: ∠6 and ∠7 are supplementary angles, so m∠6 = 180° - m∠7 = 180° - 70° = 110°.
