Part 1) Option D ![53\°](/tpl/images/0234/2574/7bf84.png)
Part 2) Option C ![37\°](/tpl/images/0234/2574/4dfa2.png)
Step-by-step explanation:
we know that
In a Rhombus
Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles
Part 1) What is the measure of angle
?
-----> remember that the diagonals bisect the angles
Part 2) What is the measure of angle
?
Remember that
In a rhombus consecutive angles are supplementary
so
![m](/tpl/images/0234/2574/233cd.png)
![m](/tpl/images/0234/2574/3b30d.png)
![m](/tpl/images/0234/2574/1c369.png)
The measure of angle
is equal to the measure of angle T divided by ![2](/tpl/images/0234/2574/05229.png)
![m](/tpl/images/0234/2574/8806e.png)