Question

How do I go about solving this. ​

Answer 1

Answer:

x=37.5° and angle ABC is 52.5°

Step-by-step explanation:

We know that angle CBD is a right angle.

We also know that angle ABE is 180°.

Our unknown angle values are angle DBE and angle CBA.

angle CBD minus angle ABE will be 90°.

angle ABC plus angle DBE must equal 90°.

Solving for x:

(x+15)+(x)=90°

(x+15-15)+(x)=90°-15

(x)+(x)=75°

2x=75°

2x/2=75°/2

x=37.5°

Checking the work:

ABC=37.5°+15=52.5°

CBD=90°

DBE=37.5°

In conclusion, ABC plus CBD plus DBE equals 180°

Hope this helped!