Question

quiz corrections! this is your chance to boost your grade and strengthen your skills. he screen - youll get questions similar to the one(s) you missed so you can practice. math corrections, take a picture of your work and explain what you missed and why. document to show your work and upload it right in delta math where it says upload wc tion is a step toward mastery! keep going, and be proud of the effort youre putting in. question find m∠igh. answer attempt 1 out of 2

Explanation:

Step1: Identify triangle type

The triangle has two equal - side markings, so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal.

Step2: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let $\angle{IGH}=\angle{IHG} = x$. We know one angle $\angle{I}=51^{\circ}$. So, $x + x+51^{\circ}=180^{\circ}$.

Step3: Solve for $x$

Combining like terms, we get $2x+51^{\circ}=180^{\circ}$. Subtract 51° from both sides: $2x=180^{\circ}- 51^{\circ}=129^{\circ}$. Then divide both sides by 2: $x=\frac{129^{\circ}}{2}=64.5^{\circ}$.

Answer:

$64.5^{\circ}$