Question

C: Determine the measure of the obtuse angle formed at the intersection of AV and HI​

Answer 1

• 146°
• 70°
• 104°

Explanation:

Given

• CS║BM

To find

• A. m∠MIH
• B. m∠AVM
• C. Obtuse angle at the intersection of AV and HI

Solution

A...................................

∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore

• m∠MIH = 180° - 34° = 146°

B...................................

∠AVM and ∠VAS are same side interior angles

and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:

• m∠AVM = 180° - m∠VAS = 180° - 110° = 70°

C...................................

Obtuse angle at the intersection of AV and HI, if name the intersection point O:

• ∠AOI = ∠HOV
• ∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°