Question

(03.03 MC)

Answer 1

The measure of angle G, m ∠G, is 42°. The correct option is the second option 42°

Calculating the measure of angle in a Triangle

From the question, we are to determine the measure of angle G

From the given information,

Angle L and angle I are congruent.

That is,

∠L ≅ ∠I

Angle J and G are congruent

That is,

∠J ≅ ∠G

Also,

Angle K and angle H are right angles

∠K ≅ ∠H = 90°

Since ∠K is a right angle,

Then,

m ∠J + m ∠L = 90°

Also,

Since ∠H is a right angle,

Then,

m ∠G + m ∠I = 90°

From the given information,

m ∠L = 48°

From m ∠J + m ∠L = 90°

m ∠J + 48° = 90°

m ∠J = 90° - 48°

m ∠J = 42°

But,

Angles J and G are congruent

Therefore,

m ∠G = 42°

Hence, the measure of ∠G is 42°

Learn more on Calculating the measure of angles in a triangle here: brainly.com/question/29033958

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