Can you please answer these clearly ? Thanks ! **Diagram Analysis and Problem #8**This image presents a diagram with several intersecting lines, forming various angles labeled from *a* to *i*. Some angles have known measurements, specified in degrees, and are crucial for solving the relationships between these angles.**Known Angles:**- Angle at the top is 60°.- Angle adjacent to the line segment marked as *d* is 65°.- Angle adjacent to the line segment marked as *g* is 55°.**Diagram Description:**- The diagram features two intersecting lines creating an upper angle of 60°.- There are three main lines intersecting from left to right at different angles.- Labeling of the angles begins from the top and moves downward or laterally.**Objective:**Determine the values of the unknown angles: *a, b, c, d, e, f, g, h,* and *i*. Fill in the blanks below with the appropriate angle measurements.**Blanks to Fill:**- a = ___________- b = ___________- c = ___________- d = ___________- e = ___________- f = ___________- g = ___________- h = ___________- i = ___________Use angle relationships such as supplementary angles, vertically opposite angles, and alternate interior angles, to resolve the values of the unknown angles. ### Problem #7#### Diagram ExplanationThis diagram illustrates two intersecting lines forming four angles labeled as \(a\), \(b\), \(c\), and \(d\). The diagram indicates the measures of two angles adjacent to \(a\):- The angle across from \(a\) is labeled 51°, making these vertical angles.- The angle adjacent to \(a\) on the right side is labeled 52°, forming a linear pair with \(a\).#### Questions and AnswersFor the values of the angles, fill in the blanks:- \(a =\) __________- \(b =\) __________- \(c =\) __________- \(d =\) __________#### Answer ExplanationTo solve for the unknown angles:- Vertical angles are equal, so \(a = 51°\).- Linear pairs sum to 180°, so \(a + 52° = 180°\). Therefore, \(c = 128°\).- \(b\) is vertical to \(c\), so \(b = 128°\).- Opposite of \(b\) forming a linear pair is \(d\), so \(d + 51° = 180°\). Therefore, \(d = 129°\).Replace the blanks with these calculated angle measures to complete the assignment.

Since you have posted multiple questions i can do first question as per our company guidelines…

Answered: #8 60 C hi 55° d /65°

#8 60 C hi 55° d /65°

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT