#1**+4 **

Here's a rough drawing of the triangle:

Since the sum of the angle measures in a triangle is 180°...

m∠BCA = 180° - 54° - 52° = 74°

Now look at quadrilateral CDHE.

Since the sum of the angle measures in a quadrilateral is 360°...

m∠DHE = 360° - 74° - 90° - 90° = 106°

And since ∠DHE and ∠AHB are vertical angles, they have the same measure.

m∠AHB = m∠DHE = 106°

hectictar
Aug 20, 2018

#1**+4 **

Best Answer

Here's a rough drawing of the triangle:

Since the sum of the angle measures in a triangle is 180°...

m∠BCA = 180° - 54° - 52° = 74°

Now look at quadrilateral CDHE.

Since the sum of the angle measures in a quadrilateral is 360°...

m∠DHE = 360° - 74° - 90° - 90° = 106°

And since ∠DHE and ∠AHB are vertical angles, they have the same measure.

m∠AHB = m∠DHE = 106°

hectictar
Aug 20, 2018