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<span>_Award brainliest if helped!
If the exterior angle of the bases is 150°, then the measure of the angle of each base is
30° and the measure of the vertex is 120°. If the exterior angle of the vertex is 150°, then the measure of the angle of each base is
75° and the measure of the vertex is 30°.</span>
Answer:

Step-by-step explanation:
Since both fractions have a different denominator, we need to look for a common denominator.
Multiply 3 in both numerator and denominator
Hence, 2/9 is the answer
Answer:
11.5
Step-by-step explanation:
Let think mathematically. We have a finite series.
sin² 5° + sin² 10° + sin² 15° + … + sin² 90° . Remeber that sin is a periodic function, and we also know that

and

also that

I'm imying that two angles that add up to 90 will make cancel out to 1.
Our full series will be
Angle measures increasing by 5 so
85+5=1
80+10=1
75+15=1
70+20=1
65+25=1
60+30=1
55+25=1
50+30=1
sin^2(45) is the same as sin(45)sin(45)=1/2.
And sin^2(90)=1 So our value is 9.5